This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

The Bayesian methods depart from the Howard method in how releases are estimated. The Howard methods assume that the species composition of the harvests are equal to the species composition of released fish, which is clearly contraindicated in the logbook data. For instance, logbook data demonstrates that yelloweye have been retained at high levels up until restrictions were enacted in recent years, whereas pelagic rockfish were released in significant numbers in the past with retention increasing in recent years as they have become more prized by anglers. Recent prohibition on retaining yelloweye in Southeast Alaska highlights the shortcomings of the original Howard assumptions as the species composition of the harvest would indicate that no yelloweye were caught and released during the closure.

The Howard method for estimating releases for private anglers also relied on an expansion of the logbook release estimates based on the ratio of private:guided releases of all rockfish in the SWHS. In addition to the faulty assumptions about species composition, this method ignores potential bias in SWHS estimates of harvests and releases or at least assumes that the bias in release and harvests are the same. As demonstrated in Figure 1, the bias in those two quantities appears to be quite different based on the logbook data. The Bayesian model thus attempts to estimate release probabilities based on the logbook data coupled with bias corrected estimates from the SWHS.

Lastly, the Howard methods were only used on data beginning in 1999 with the advent of the logbook program and estimates of harvests and releases prior to that have been based on linear ramps from 1999 back to the perceived start of the fishery. The Bayesian methods allow us to expand the time series back to 1977 when the SWHS was implemented by leveraging regional data trends in species composition and the proportion of caught rockfish harvested by species and/or species complex. Key advantages of the Bayesian approach are highlighted in table 1.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Data

Harvest data was available for 22 commercial fishing management areas in Southcentral and Southeast Alaska. Areas with negligible rockfish harvest were pooled with adjacent areas for analysis. Specifically the Aleutian and Bering areas were pooled into an area labeled BSAI; the IBS and EKYT were pooled into an area labeled EKYKT; the Southeast, Southwest, SAKPEN and Chignik areas were pooled into an area labeled SOKO2PEN and the Westside and Mainland areas were pooled into an area labeled WKMA.

Stateside Harvest Survey (SWHS)

Statewide harvest survey estimates of rockfish catch and harvest are available for 28 years (1996-2023) for all users and for 13 years (2011-2023) for guided anglers (Figure 0). Additionally, there are overall harvest estimates from 1977- 1995 and release estimates from 1990-1995 that required some partitioning to ascribe to current management units. Harvests in unknown areas were apportioned based on harvest proportions in 1996. Variance estimates are not available for pre-1996 data and as such, the maximum observed coefficient of variation (cv) in each commercial fisheries management unit was applied to the pre-1996 values.

**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


SWHS estimates are believed to be biased to some degree. These modelling efforts aim to estimate and correct for that bias with the assumption that logbook records are a census of guided harvests and releases.

SWHS Rockfish release estimates are inferred from the difference between catch and harvest estimates.

Adam noted that the first 5 years (23 years counting the historical data) in the SWHS data set for PWSO seem unreasonable (close to zero and not corroborated with logbook estimates). Adam recommended setting these harvests to unknown, but current model development has included the data. Once a satisfactory model has been identified we will exam the effects of censoring the PWSO data.

Creel Surveys

NA

Guide Logbooks

Sport fishing guides have been required to report their harvest of rockfish for 26 years (1998-2023). Reported harvest is also available by assemblage (pelagic vs. non-pelagic). Harvest of yelloweye and “other” (non-pelagic, non-yelloweye) rockfish were reported separately beginning in 2006.

Logbooks also record the number of rockfish released for the same categories. However, the reliability of the release data is somewhat questionable as reported releases are generally far lower than that estimated by the SWHS. As such several treatments of the data are considered.

Logbook versus SWHS estimates

Estimates of guided harvests and releases from the SWHS do not align with the census from charter logbooks. Logbook harvest reports are generally considered reliable and are used to assess the bias in SWHS reports. However, there is even greater disparity between release estimates in the two sources and it is debatable whether logbook releases should be treated as a census. The Howard et al. (2020) methods do treat the logbook release data as “true” and thus are considerably less than would be estimated from the SWHS data.

**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


A note on model development

To evaluate the discrepancy in apparent bias in harvest and release data, several models were explored to estimate releases during model development. One method (\(LB_{fit}\)) considers the logbook release data to be reliable and a second method (\(LB_{cens}\)) treated the logbook release data as estimates of the minimum released, thus giving more weight to SWHS release estimates. A third method (\(LB_{hyb}\)) is a hybrid approach that treats reported releases of yelloweye as reliable but total rockfish and pelagic rockfish releases as minimums. Model development revealed a tension between the total and pelagic logbook releases and the yelloweye logbook releases. This tensions eventually highlighted the different release/retention probabilities between yelloweye and pelagics in the logbook data and prompted the current approach whereby that probability was calculated for the three main species complexes covered in the data: pelagics, yelloweye, and “other”. The methods described here follow the (\(LB_{fit}\)) formulation. Based on model behavior it is unlikely that the (\(LB_{cens}\)) model would work as there would not be enough data to estimate release probabilities. However, it may be worth running the (\(LB_{hyb}\)) approach as a sensitivity test at the very least.

Composition data

Harvest sampling data exists from Gulf of Alaska areas since 1996 and from Southeast Alaska areas since 2006. Port sampling data is comprised of the number of total rockfish, pelagic and non-pelagic rockfish, black rockfish and yelloweye rockfish. In Southeast Alaska, the number of Demersal Shelf Rockfish (DSR, of which yelloweye are one species) and slope rockfish are also recorded.

Process equations

The true harvest \(H_{ay}\) of rockfish for area \(a\) during year \(y\) is assumed to follow a temporal trend defined by a penalized spline:

\[\begin{equation} \textrm{log}(H_{ay})~\sim~\textrm{Normal}(f(a,y), {\sigma_H}) \end{equation}\]

where \(f(a,y)\) in a p-spline basis with 7 components (knots) and a second degree penalty. The variance, \(\sigma_H\), was given a normal prior with a mean and standard deviation of 0.25 and 1, respectively.

Charter and private harvest \(H_{ayu}\) (where u = 1 for charter anglers and u = 2 for private anglers) is a fraction of total annual harvest in each area:

\[\begin{equation} H_{ay1}~=~H_{ay}P_{(user)ay1}\\H_{ay2}~=~H_{ay}(1-P_{(user)ay1}) \end{equation}\]

where \(P_{(user)ay1}\) is the fraction of the annual harvest in each area taken by charter anglers. \(P_{(user)ay1}\) was modeled hierarchically across years as:

\[\begin{equation} P_{(user)ay1}~\sim~\textrm{beta}(\lambda1_a, \lambda2_a) \end{equation}\]

with non-informative priors on both parameters.

Annual black rockfish harvest \(H_{(black)ayu}\) for each area and user group is:

\[\begin{equation} H_{(black)ayu}~=~H_{ayu}P_{(pelagic)ayu}P_{(black|pelagic)ayu} \end{equation}\]

where \(P_{(pelagic)ayu}\) is the fraction of the annual harvest for each area and user group that was pelagic rockfish and \(P_{(black|pelagic)ayu}\) is the fraction of the annual harvest of pelagic rockfish for each area and user group that was black rockfish.

The southeast region also tracks two other non-pelagic rockfish assemblages, demersal shelf rockfish (DSR, which includes yelloweye) and slope rockfish. For the southeast region the harvest of those two assemblages is thus

\[\begin{equation} H_{(DSR)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(DSR|non-pelagic)ayu}\\ H_{(slope)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(slope|non-pelagic)ayu}\\ \end{equation}\]

where \(P_{(DSR|non-pelagic)ayu}\) and \(P_{(slope|non-pelagic)ayu}\) are the fractions of the annual harvest of non-pelagic rockfish for each area and user group that were DSR and slope rockfish, respectively.

Annual yelloweye rockfish harvest \(H_{(yelloweye)ayu}\) for each area and user group is calculated differently for central/Kodiak areas and southeast areas. For central and Kodiak areas yelloweye rockfish harvests are calculated as

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(yelloweye|non-pelagic)ayu} \end{equation}\]

where \(P_{(yellow|non-pelagic)ayu}\) is the fraction of the annual harvest of non-pelagic rockfish for each area and user group that was yelloweye rockfish.

For southeast areas yelloweye harvests are a fraction of the DSR harvests such that

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{(DSR)ayu}P_{(yelloweye|DSR)ayu} \end{equation}\]

The composition parameters \(P_{(comp)ayu}\), were modeled using a logistic curve that would allow hindcasting without extrapolating beyond the limit of observed values such that:

\[\begin{equation} \textrm{logit}(P_{(comp)ayu})~=~\beta0_{(comp)ayu} + \frac{\beta1_{(comp)ayu}}{(1 + exp(\beta2_{(comp)ayu}*(y - \beta3_{(comp)ayu})))} + \beta4_{(comp)ayu}*I(u=private)+re_{(comp)ayu} \end{equation}\]

where the \(\beta\) parameters define the intercept, scaling factor, slope, inflection point and private angler effect, respectively, \(y\) is the year index, \(I(u=private)\) is an index variable which is 1 when the user groups is private and 0 otherwise and \(re_{(comp)ayu}\) is a random effect with a non-informative prior. \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernible change in composition over the observed time period. \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was used for hindcasting.

The true number of released rockfish \(R_{ayu}\) were based on the proportion of the total catch harvested, \(pH_{(comp)ayu}\), by area, year, user group and species grouping. Because release data from the SWHS is for all rockfish and the release data from logbooks is only subdivided into pelagics, yelloweye and “other” (non-pelagic, non-yelloweye), we only estimated \(pH_{(comp)ayu}\) for those categories. Thus, converting \(H_{(comp)ayu}\) to total catches by user group, \(C_{(comp)ayu}\), with \(pH_{(comp)ayu}\) results in estimates of total releases such that

\[\begin{equation} R_{(comp)ayu}~=~ C_{(comp)ayu} - H_{(comp)ayu} ~=~ \frac{H_{(comp)ayu}}{pH_{(comp)ayu}} - H_{(comp)ayu} \end{equation}\]

with total releases equal to the sum of the compositional releases. For non-yelloweye DSR and Slope rockfish assemblages in Southeast Alaska \(R_{(DSR)ayu}\) and \(R_{(slope)ayu}\) were estimated from \(R_{(other)ayu}\) using the species composition data from the harvest, thus assuming that slope and DSR assemblages were caught and released at the same rates.

The proportion harvest parameters for \(pH_{(comp)ayu}\) were modeled using a logistic curve that would allow hindcasting based on trends in the data without extrapolating beyond the range of observed values such that

\[\begin{equation} \textrm{logit}(pH_{(pH)ayuc})~=~\beta0_{(pH)ayu} + \frac{\beta1_{(pH)ayuc}}{(1 + exp(\beta2_{(pH)ayuc}*(y - \beta3_{(pH)ayuc})))} + \beta4_{(pH)ayuc}*I(u=private)+re_{(pH)ayuc} \end{equation}\]

A random effect term allowed estimation during the historical period when data is available, but the curve defined by the above equation determined release estimates between 1977 and 1990. As with the compositional trends, \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernable change in harvest probability over the observed time period, \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was applied.

Release mortality (i.e., the number of released rockfish expected to die) was calculated assuming fixed mortality rates developed in each of the regions. Deep water release (DWR) devices were mandated for charter fleets in 2013 and rates were derived from CITATION. Southeast applies basic rates estimated in these studies while Southcentral and Kodiak rates were derived by using historical depth-of-release data to adjust the rates based on area and user group.

The total number of mortalities by year, area, user and species/species assemblage in numbers was calculated by summing harvests and release mortality such that

\[\begin{equation} M_{(comp)ayu}~=~ H_{(comp)ayu} + m_{R-(comp)ayu} * R_{(comp)ayu} \end{equation}\]

where \(m_{R-(comp)ayu}\) is the release mortality rate by year, area, user and species (Figure XX).

Total removals in biomass were converted using the average weight of fish from port sampling?. A minimum sample size per year of X fish was used as the cutoff for including in the data set. Weights were modeled hierarchically to estimate weights in years when data was missing. The total biomass of removals by year, area, user and species was thus

\[\begin{equation} B_{(comp)ayu}~=~ \overline{wt}_{(comp)ayu} * M_{(comp)ayu} \end{equation}\]

where \(\overline{wt}_{(comp)ayu}\) is the mean weight by species, area, user and year.

Observation equations

SWHS estimates of annual rockfish harvest \(\widehat{SWHS}_H{ay}\) were assumed to index true harvest:

\[\begin{equation} \widehat{SWHS}_H{ay}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay}b_{ay}), \sigma_{SWHSHay}^2\right) \end{equation}\]

where bias in the SWHS harvest estimates \(b_H{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_H{ay}~\sim~\textrm{Normal}(\mu_H{(b)a}, \sigma_H{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

SWHS estimates of guided angler harvest \(\widehat{SWHS}_H{ay1}\) are related to total harvest by:

\[\begin{equation} \widehat{SWHS}_H{ay1}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay1}b_{ay}), \sigma_{SWHS_{ay1}}^2\right) \end{equation}\]

Reported guide logbook harvest \(\widehat{LB}_H{ay}\) is related to true harvest as:

\[\begin{equation} \widehat{LB}_H{ay}~\sim~\textrm{Poisson}(H_{ay1})\\ \widehat{LB}_H{(pelagic)ay}~\sim~\textrm{Poisson}(H_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_H{(yelloweye)ay}~\sim~\textrm{Poisson}(H_{(yelloweye)ay1})\\ \widehat{LB}_H{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(H_{(nonpel,nonye)ay1})\\ \end{equation}\]

Note that for central and Kodiak areas \(H_{(nonpel,nonye)ay1}\) is equal to the total harvest minus pelagic and yelloweye harvests. For southeast areas \(H_{(nonpel,nonye)ay1}\) is equal to the sum of the DSR and slope harvests minus yelloweye harvests.

SWHS estimates of annual rockfish releases \(\widehat{SWHS}_R{ay}\) were assumed to index true releases in a similar fashion and thus modeled similarly. As such, the release data are related to true releases just as harvests were modeled such that:

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{Poisson}(R_{ay1})\\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{Poisson}(R_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Because logbook release data is more questionable and demonstrates greater disagreement with SWHS estimates (Figure 1), a second approaches was considered that loosened the assumption that logbook releases were a census. Methods explored to develope \(LB_{hyb}\) and \(LB_{cens}\) models are detailed at the end of this section.

SWHS estimates of guided angler release \(\widehat{SWHS}_R{ay1}\) is modeled the same as harvests.

SWHS release bias was modeled independently of the harvest bias \(b_H{ay}\) such that

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

where bias in the SWHS release estimates \(b_R{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

The number of pelagic rockfish sampled in harvest sampling programs \(x_{(pelagic)ayu}\) follow a binomial distribution:

\[\begin{equation} x_{(pelagic)ayu}~\sim~\textrm{Binomial}(P_{(pelagic)ayu}, N_{ayu}) \end{equation}\]

where \(N_{ayu}\) is the total number of rockfish sampled in area \(a\) during year \(y\) form user group \(u\). The number of black rockfish sampled in harvest sampling programs was thus a proportion of the pelagic harvests

\[\begin{equation} x_{(black)ayu}~\sim~\textrm{Binomial}(P_{(black)ayu}, N_{ayu}^{pel}) \end{equation}\]

Yelloweye rockfish in Southcentral and Kodiak were modeled similarly as a proportion of the total number of non-pelagics such that

\[\begin{equation} x_{(yellow_{R2})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R2})ayu}, N_{ayu}^{nonpel}) \end{equation}\]

Southeast areas have several other non-pelagic groupings such that DSR and slope rockfish are a proportion of non-pelagics

\[\begin{equation} x_{(DSR)ayu}~\sim~\textrm{Binomial}(P_{(DSR)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

and

\[\begin{equation} x_{(slope)ayu}~\sim~\textrm{Binomial}(P_{(slope)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

with yelloweye in southeast a proportion of the DSR harvest

\[\begin{equation} x_{(yellow_{R1})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R1})ayu}, N_{ayu}^{DSR}). \end{equation}\].

Kodiak has limited port sampling beyond the main harbors but has a robust hydroacoustic survey that is used to quantify black rockfish abundance across the management area and uses stereocameras to derive species compositions of the hydroacoustic data. This data was used as supplementary data to further inform the model to the proportion of pelagic rockfish that are black in Kodiak areas. Angler landings in Kodiak show a higher proportion of black rockfish relative to the hydroacoustic survey and thus the proportion of black rockfish in the hydroacoustic sample related to the true proportion such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ P_{(black|pelagic)ayu} + ae_{au} \end{equation}\].

where \(ae_{au}\) is the angler effect for each area and user group modeled hierarchically around a mean of 0. Predicted \(P_{(black|pelagic)ayu}^{HA}\) assumed a beta distribution such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ beta(\alpha_{HA},\beta_{HA}) \end{equation}\]

where

\[\begin{equation} \alpha_{HA} ~=~ (P_{(black|pelagic)ayu}^{HA})^2 * \frac{1 - P_{(black|pelagic)ayu}^{HA}}{\frac{var_{P_{HA}}-1}{P_{(black|pelagic)ayu}^{HA}}}, \end{equation}\]

\[\begin{equation} \beta_{HA} ~=~ (\alpha_{HA}) * \frac{1}{P_{(black|pelagic)ayu}^{HA} - 1}, \end{equation}\]

\[\begin{equation} var_{P_{HA}} ~=~ (P_{(black|pelagic)ayu}^{HA} * cvP_{(black|pelagic)ayu}^{HA})^2 \end{equation}\]

where \(cvP_{(black|pelagic)ayu}^{HA}\) is the coefficient of variation for the hydroacoustic proportions

\[\begin{equation} cvP_{(black|pelagic)ayu}^{HA} ~=~ \frac{\sqrt{varP_{(black|pelagic)ayu}^{HA}}}{P_{(black|pelagic)ayu}^{HA}} \end{equation}\]

and the variance is approximated using the XXXX method as

\[\begin{equation} varP_{(black|pelagic)ayu}^{HA} ~=~ (\frac{1}{n_{pel}})^2 * varN_{black} + (\frac{n_{black}}{n_{pel}^2}) * varN_{pel} \end{equation}\]

where \(varN_{black}\) and \(varN_{black}\) are the variance of the estimated number of black and pelagic rockfish in the hydroacoustic survey, respectively (CITATION).

The average weight of rockfish by species, user, area and year was modeled hierarchically at several levels within regions such that

\[\begin{equation} wt_{(comp)ayu} ~\sim~ Normal(wt_{(comp)au},\sigma_{wt_{(comp)au}}) ~\sim~ Normal(wt_{(comp)a},\sigma_{wt_{(comp)a}}) ~\sim~ Normal(wt_{(comp)region},\sigma_{wt_{(comp)region}}) \end{equation}\]

where region refers to Kodiak, Southcentral and Southeast. Mean weights and variance were calculated as XXX.

Alternative likelihoods for release estimates

To loosen the assumption that logbook release data are an effective census of true releases I explored models that treated logbook release estimates as a lower bound on the estimate of true releases. In a hybrid approach yelloweye and non-pelagic releases are regarded as a reliable census (given the emphasis and ease of recording these fish) but censors the pelagic and total rockfish release estimates (where censoring implies NA values) such that

\[\begin{equation} \text{censored} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), 1\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \text{censored} \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), 1\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

This model formulation failed such that there was not enough data to inform pelagic releases and the values did not seem valid. A second approach is being explored that fits the censored data using a lognormal distribution centered around the logbook release value, but also with a lower bound equal to the number of recorded releases such that

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Logbook data is assumed to be a census and as such there is no estimate of uncertainty. As of this writing, several methods are being examined for how to treat \(\sigma_{Ray1}^2\). Models are being run that attempt to allow the model to estimate \(\sigma_{Ray1}^2\) with priors. A simple model applies a uniform prior (0.1,50) to \(\sigma_{Ray1}^2\). A hierarchichal approach based on regions is also being examined whereby \(\sigma_{Ray1}^2\) is lognormally distributed around hyper priors \(\mu_{\sigma_R}\) and \(\sigma_{\sigma_R}\). Initial efforts have applied a uniform prior on \(\mu_{\sigma_R}\) between 1 and 50 and on \(\sigma_{\sigma_R}\) between 0 and 10.

Priors.

Priors range from uninformative to very informative or fixed. Priors for compositional logistic parameters are in Table 2 and proportion harvest logistic parameters are in Table 3. Until I figure out how to make a nice table in Rmarkdown, please refer to the attached spreadsheet and comp and harvp tabs.

Unresolved issues and outstanding questions:

  1. Reliability of unguided release estimates: These estimates have the least information feeding them and rely on the bias-corrected SWHS release estimates of all rockfish and the trends in release probability evident in the logbook data. The \(\beta4\) term that estimates the guided/unguided effect was given a very informative prior that tied the release probability of private anglers tightly to that of the charter fleet. The model is then trying to balance the three species complex estimates (pelagic, yelloweye and other) so that they sum to the total unguided releases estimated from the bias corrected SWHS data. For the most part this seems reasonable and appears to work, but there are certain areas where the estimates are “wonky”:

    1. Total rockfish releases more or less align with the total releases estimated with the Howard methods. Presumably, much of the discrepancy results from the substantial bias in release estimates from the SWHS. Interestingly, the logbook data indicates that the SWHS underestimates harvests but overestimates releases by a significant factor (Figure 23 and 24 below).
    2. In general, release estimates of black rockfish are substantially lower than those calculated using the Howard methods. Presumably, much of this derives from the bias correction of the SWHS release estimates.
    3. Yelloweye release estimates also differ considerably from the Howard estimates, but unlike black rockfish are sometimes lower and sometimes higher. Two areas in particular are a little head scratching. Yelloweye releases in the Kodiak Northeast area in particular are significantly lower than for guided anglers with the same pattern evident in Cook Inlet to a lesser extent. Cook Inlet yelloweye numbers are very small, so this is a sample size issue with little consequence. The cause of the Kodiak northeast estimates is not clear to me at this point, but the model estimates the proportion harvested by unguided anglers to be much lower than that of guided anglers, even with the informative prior on \(\beta4\). This must be a product of the bias corrected SWHS release estimates and how the model is partitioning that estimate into the 3 species complexes, but itis a bit a of head scratcher.
  2. Proportion guided estimates: There is not much data on this proportion prior to 2011 and it is not modeled with any sort of trend as was done for species composition and harvest proportions. With the exception of Cook Inlet and North Gulf Coast areas, there is little, if any, trend apparent in the data and perhaps this approach is the best available given the data available. However, if there are data sources somewhere that could inform this part of the model they could be incorporated.

  3. Prior choices in general need to be vetted. The priors on the logistic curves are fairly informed in an effort to achieve the desired shapes for hindcasting. Ideally, sensitivity testing would occur but the model is very slow to converge. The beta parameters on the logistic curves have required a lot of work on the priors to reach convergence.

  4. Proportion harvest estimates for non-pelagic, non-yelloweye in Kodiak WKMA: I need to adjust the prior on the inflection point, \(\beta3\), so that it is forced to occur after 2006. Right now the model is estimating inflection in two Kodiak areas before that point where there is no data to justify a shift. The current inflection is a result of the hierachichal model.

  5. Proportion pelagic in PWS and CSEO: The parameters for these particular proportions are very slow to converge. For the CSEO, the estimates of the \(\beta\) parameters are similar to the other Southeast areas, but the mixing is poor over the length of the chains. In this case I think they will ultimately converge with a very long model run and the shape of the curve in the model output looks acceptable. For the two PWS areas the model seems to struggle with the disparate proportional data from the logbook and the port sampling. There is some wandering in the chains of the \(\beta0\) and \(\beta1\) terms and spikiness in the \(\beta2\) terms. I’ve been working on constraining the hyperpriors for PWS \(beta2\). Similar to CSEO, it may just entail a very long model run to reach convergence, but the shape of the curves looks reasonable.

Next steps:

Once the model is finalized, harvest and release numbers need to be converted into biomass removals. This is a two step process where release mortality estimates are applied to the release estimates to estimate the number of released rockfish that do not survive. This is based on studies and will reflect the values that the department has been using with the Howard methods. Region 2 (both Southcentral and Kodiak) have release-at-depth estimates from a number of years that they apply across all years and then calculate mortality rates based on those estiates. Southease does not have release-at-depth data and simply applies an assumed rate based on research.

Once release mortality is calculated average weight data is applied to convert numbers to biomass. The plan is to incorporate all of this into the model to propogate uncertainty into the posteriors. However, the model already takes a long time to run and I may explore a simpler approach using the posteriors from the numbers model to speed up processing.

Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


## NULL


## NULL

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

**Figure 35.**- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.



Weight Fits

**Figure 36.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


### Summary of unconverged parameters:

Table X. Unconverged parameters.

area

variable

year

user

species

Rhat

BSAI

Rp_ay

11

1.291183

BSAI

R_ay

11

1.291183

BSAI

Rp_ayu

11

1.291181

BSAI

R_ayu

11

1.291181

BSAI

Rb_ay

11

1.291168

BSAI

Rb_ayu

11

1.291166

BSAI

Rp_ay

3

1.290978

BSAI

R_ay

3

1.290978

BSAI

Rp_ayu

3

1.290978

BSAI

R_ayu

3

1.290978

BSAI

Rb_ay

3

1.290973

BSAI

Rb_ayu

3

1.290973

BSAI

Rp_ay

12

1.290905

BSAI

R_ay

12

1.290905

BSAI

Rb_ay

12

1.290905

BSAI

Rp_ayu

12

1.290904

BSAI

Rb_ayu

12

1.290904

BSAI

R_ayu

12

1.290904

BSAI

Rb_ay

1

1.290901

BSAI

Rp_ay

1

1.290901

BSAI

R_ay

1

1.290901

BSAI

Rb_ayu

1

1.290901

BSAI

Rp_ayu

1

1.290901

BSAI

R_ayu

1

1.290901

BSAI

Rp_ay

9

1.290887

BSAI

R_ay

9

1.290887

BSAI

Rp_ayu

9

1.290887

BSAI

R_ayu

9

1.290887

BSAI

Rp_ay

4

1.290887

BSAI

R_ay

4

1.290887

BSAI

Rb_ay

9

1.290887

BSAI

Rb_ayu

9

1.290887

BSAI

Rb_ay

4

1.290885

BSAI

Rp_ayu

4

1.290885

BSAI

R_ayu

4

1.290885

BSAI

Rb_ayu

4

1.290883

BSAI

Rb_ay

5

1.290877

BSAI

Rp_ay

5

1.290875

BSAI

R_ay

5

1.290875

BSAI

Rb_ayu

5

1.290872

BSAI

Rp_ayu

5

1.290870

BSAI

R_ayu

5

1.290870

BSAI

Rp_ayg

5

1.290122

BSAI

R_ayg

5

1.290121

BSAI

Rb_ayg

5

1.290012

BSAI

Rp_ayu

14

1.289237

BSAI

R_ayu

14

1.289236

BSAI

Rp_ay

14

1.289195

BSAI

R_ay

14

1.289193

BSAI

Rb_ayu

14

1.289193

BSAI

Rb_ay

14

1.289156

BSAI

Rb_ayu

16

1.288408

BSAI

R_ayu

16

1.288374

BSAI

Rp_ayu

16

1.288371

BSAI

Rb_ay

16

1.287893

BSAI

Rp_ay

16

1.287882

BSAI

R_ay

16

1.287876

BSAI

Rp_ayg

11

1.286353

BSAI

R_ayg

11

1.286340

BSAI

Rb_ayg

11

1.286322

BSAI

tau_prigui_pre

1.286102

BSAI

Rp_ay

2

1.286071

BSAI

R_ay

2

1.286070

BSAI

Rb_ay

2

1.285966

BSAI

R_ayu

2

1.285777

BSAI

Rp_ayu

2

1.285775

BSAI

Rb_ayu

2

1.285751

BSAI

Rp_ayg

2

1.284660

BSAI

R_ayg

2

1.284644

BSAI

Rb_ayg

2

1.283882

BSAI

Rb_ayu

13

1.282591

BSAI

Rb_ay

13

1.282514

BSAI

Rb_ayg

6

1.281993

BSAI

Rp_ayg

6

1.281860

BSAI

R_ayg

6

1.281847

BSAI

Rp_ayu

13

1.281506

BSAI

R_ayu

13

1.281506

BSAI

Rp_ay

13

1.281427

BSAI

R_ay

13

1.281427

BSAI

Rb_ayu

10

1.277342

BSAI

Rb_ay

10

1.277247

BSAI

R_ayu

10

1.276739

BSAI

Rp_ayu

10

1.276734

BSAI

R_ay

10

1.276664

BSAI

Rp_ay

10

1.276664

BSAI

Rp_ayg

1

1.276493

BSAI

R_ayg

1

1.276479

BSAI

Rb_ayg

1

1.276374

BSAI

Rp_ay

15

1.273889

BSAI

R_ay

15

1.273887

BSAI

R_ayu

15

1.273680

BSAI

Rp_ayu

15

1.273673

BSAI

Rb_ay

15

1.272931

BSAI

Rb_ayu

15

1.272654

BSAI

R_ayu

6

1.267942

BSAI

Rp_ayu

6

1.267927

BSAI

Rb_ayu

6

1.267654

BSAI

Rb_ayg

10

1.264205

BSAI

Rp_ayg

10

1.262479

BSAI

R_ayg

10

1.262433

BSAI

Rb_ayg

12

1.258306

BSAI

Rp_ayg

12

1.257190

BSAI

R_ayg

12

1.257124

BSAI

R_ayu

7

1.256410

BSAI

Rp_ayu

7

1.256394

BSAI

Rp_ayg

9

1.252067

BSAI

R_ayg

9

1.252024

BSAI

Rb_ayu

7

1.251390

BSAI

Rp_ay

7

1.250777

BSAI

R_ay

7

1.250773

BSAI

Rb_ay

7

1.246252

BSAI

Rb_ayg

9

1.238625

BSAI

Ry_ayu

5

1.231097

BSAI

Ro_ayu

8

1.231094

BSAI

Ry_ay

5

1.231038

BSAI

Rb_ayg

4

1.228294

BSAI

Rp_ay

6

1.228076

BSAI

R_ay

6

1.228061

BSAI

Rb_ay

6

1.228000

BSAI

Rp_ayg

4

1.226098

BSAI

R_ayg

4

1.226094

BSAI

Ro_ay

8

1.222968

BSAI

Rp_ayu

8

1.216967

BSAI

R_ayu

8

1.216958

BSAI

Rb_ayu

17

1.215723

BSAI

Hy_ayu

16

1.214711

BSAI

R_ayu

17

1.214282

BSAI

Rp_ayu

17

1.214268

BSAI

Rb_ay

17

1.213841

BSAI

Hy_ay

16

1.213586

BSAI

R_ay

17

1.212292

BSAI

Rp_ay

17

1.212292

BSAI

Ro_ayu

12

1.211238

BSAI

Rp_ay

8

1.205335

BSAI

R_ay

8

1.205324

BSAI

Rb_ayu

8

1.204972

BSAI

Ro_ayg

4

1.192519

BSAI

Rb_ay

8

1.192256

BSAI

Ho_ayu

7

1.188686

BSAI

Ho_ay

7

1.185033

BSAI

Ry_ayg

11

1.183712

BSAI

Ry_ayu

1

1.180025

BSAI

Ry_ay

1

1.179976

BSAI

Ry_ayg

13

1.179175

BSAI

Ho_ayu

10

1.174474

BSAI

Ho_ay

10

1.172140

BSAI

Rb_ayg

15

1.171411

BSAI

Ho_ayu

29

1.170067

BSAI

Ry_ayu

18

1.169861

BSAI

Ho_ay

29

1.169861

BSAI

Ry_ay

18

1.169808

BSAI

Ro_ayg

8

1.168227

BSAI

Rp_ayg

15

1.167246

BSAI

R_ayg

15

1.166991

BSAI

Rb_ayg

3

1.165300

BSAI

Ry_ayu

31

1.161330

BSAI

Rp_ayg

3

1.161318

BSAI

Ry_ay

31

1.161282

BSAI

R_ayg

3

1.161240

BSAI

Rp_ayu

20

1.158917

BSAI

R_ayu

20

1.158912

BSAI

Rb_ayg

8

1.158670

BSAI

Ro_ay

12

1.156223

BSAI

Ro_ayg

13

1.156207

BSAI

Ho_ay

16

1.151489

BSAI

Ry_ayu

7

1.149530

BSAI

Ry_ay

7

1.149335

BSAI

Ho_ayu

16

1.148993

BSAI

Rb_ayu

20

1.147552

BSAI

Rp_ay

20

1.147035

BSAI

R_ay

20

1.146745

BSAI

H_ayu

16

1.146641

BSAI

Ho_ayu

5

1.146510

BSAI

Ry_ayu

15

1.144818

BSAI

Ry_ay

15

1.144695

BSAI

Ho_ay

5

1.144441

BSAI

H_ay

16

1.139854

BSAI

Rb_ay

20

1.136396

BSAI

Ro_ayg

14

1.136378

BSAI

Rp_ayg

8

1.133188

BSAI

R_ayg

8

1.133182

BSAI

Rp_ayg

7

1.132753

BSAI

R_ayg

7

1.132705

BSAI

Ro_ayg

2

1.131230

BSAI

Ro_ayg

32

1.130956

BSAI

Ro_ayg

16

1.126444

BSAI

Hy_ayg

13

1.123284

BSAI

Ry_ayu

4

1.121651

BSAI

Ry_ay

4

1.121462

BSAI

Ro_ayg

7

1.120659

BSAI

Ho_ayg

13

1.120519

BSAI

Ry_ayu

2

1.119674

BSAI

Rb_ayg

7

1.119647

BSAI

Ry_ay

2

1.119511

BSAI

Ry_ayg

9

1.118763

BSAI

Ry_ayg

21

1.112358

CI

tau_prigui_pre

1.258289

CI

Ro_ayg

2

1.221505

CI

Ro_ayu

3

1.210388

CI

mu_beta1_pH

3

1.208400

CI

Ro_ayu

1

1.201152

CI

Ro_ay

2

1.184570

CI

Ro_ayu

5

1.143187

CSEO

tau_prigui_pre

1.265963

CSEO

Rs_ayu

29

1.110311

EWYKT

Ry_ayu

44

1.255629

EWYKT

Ry_ay

44

1.255618

EWYKT

Rd_ayu

44

1.255396

EWYKT

Rd_ay

44

1.255300

EWYKT

Bdnye_ayu

47

1.255174

EWYKT

Bdnye_ay

47

1.255173

EWYKT

Tdnye_ay

47

1.255160

EWYKT

Tdnye_ayu

47

1.255160

EWYKT

Rdnye_ay

47

1.255160

EWYKT

Rdnye_ayu

47

1.255159

EWYKT

Ro_ay

47

1.253817

EWYKT

Ro_ayu

47

1.253817

EWYKT

R_ayu

44

1.253178

EWYKT

R_ay

44

1.253109

EWYKT

Rd_ay

47

1.250033

EWYKT

Rd_ayu

47

1.250032

EWYKT

R_ay

47

1.249742

EWYKT

R_ayu

47

1.249742

EWYKT

Ts_ayu

47

1.241732

EWYKT

Rs_ayu

47

1.241731

EWYKT

Rs_ay

47

1.241730

EWYKT

Ts_ay

47

1.241729

EWYKT

Rs_ayu

28

1.197139

EWYKT

Ry_ay

45

1.186531

EWYKT

Ry_ayu

45

1.186519

EWYKT

Rd_ayu

45

1.185792

EWYKT

R_ay

45

1.185754

EWYKT

R_ayu

45

1.185742

EWYKT

Rd_ay

45

1.185713

EWYKT

Rs_ayu

12

1.142494

EWYKT

p_dsr

44

1

1.138299

EWYKT

Rdnye_ayu

46

1.131539

EWYKT

Rdnye_ay

46

1.131212

EWYKT

Bdnye_ayu

46

1.129867

EWYKT

Bdnye_ay

46

1.129230

EWYKT

Tdnye_ayu

46

1.128990

EWYKT

Tdnye_ay

46

1.128484

EWYKT

Rs_ayu

14

1.119073

EWYKT

Ro_ayu

46

1.118979

EWYKT

Ro_ay

46

1.118927

EWYKT

Rs_ayu

17

1.113089

NG

tau_prigui_pre

1.290541

NG

tau_beta2_pH

3

1.115979

NSEI

tau_prigui_pre

1.288779

NSEO

tau_prigui_pre

1.290963

NSEO

Rd_ay

44

1.241778

NSEO

Ry_ay

44

1.241776

NSEO

Rd_ayu

44

1.241761

NSEO

Ry_ayu

44

1.241760

NSEO

R_ayu

44

1.240779

NSEO

R_ay

44

1.240779

NSEO

R_ayu

47

1.184907

NSEO

R_ay

47

1.184902

NSEO

Ry_ayu

47

1.184791

NSEO

Rd_ayu

47

1.184789

NSEO

Ry_ay

47

1.184787

NSEO

Rd_ay

47

1.184785

NSEO

Rs_ayu

12

1.121988

NSEO

Rs_ayu

23

1.115918

PWSI

mu_beta1_pH

2

1.266402

PWSI

Rb_ayu

2

1.264449

PWSI

tau_prigui_pre

1.263331

PWSI

Rp_ayu

2

1.259437

PWSI

Rp_ay

2

1.256917

PWSI

Rb_ay

2

1.255642

PWSI

R_ay

2

1.249236

PWSI

Rp_ayu

1

1.246645

PWSI

R_ayu

2

1.246296

PWSI

Rp_ay

1

1.246181

PWSI

R_ay

1

1.241177

PWSI

R_ayu

1

1.233357

PWSI

Rb_ay

1

1.224041

PWSI

Rb_ay

6

1.223091

PWSI

Rp_ayg

2

1.221615

PWSI

R_ayg

2

1.221603

PWSI

Rp_ay

6

1.217045

PWSI

beta1_pH

1

1.213898

PWSI

Rp_ay

3

1.212611

PWSI

Rp_ayg

1

1.212161

PWSI

Rb_ayg

2

1.212054

PWSI

R_ayg

1

1.211788

PWSI

Rb_ayu

1

1.208551

PWSI

Rp_ayg

6

1.204557

PWSI

R_ayg

6

1.204334

PWSI

Rb_ayg

1

1.202753

PWSI

R_ay

6

1.202702

PWSI

Rb_ayg

6

1.202489

PWSI

Rb_ay

3

1.201532

PWSI

Rb_ay

4

1.199694

PWSI

beta0_pH

1

1.199554

PWSI

R_ay

3

1.198344

PWSI

Rb_ayg

4

1.194448

PWSI

Rp_ayg

3

1.193038

PWSI

Rp_ayg

4

1.192877

PWSI

R_ayg

4

1.192713

PWSI

R_ayg

3

1.191765

PWSI

Rb_ay

5

1.189988

PWSI

Rb_ayu

6

1.189478

PWSI

Rp_ay

5

1.187673

PWSI

Rp_ayu

3

1.186387

PWSI

Rp_ay

4

1.185863

PWSI

Rb_ayu

3

1.182806

PWSI

R_ay

5

1.177322

PWSI

Rp_ayu

6

1.177054

PWSI

Rb_ayg

3

1.176283

PWSI

R_ay

4

1.173262

PWSI

Rp_ayu

5

1.166086

PWSI

Rb_ayu

5

1.164858

PWSI

Rb_ayg

5

1.162542

PWSI

Rp_ay

8

1.152476

PWSI

Rp_ayg

5

1.152360

PWSI

R_ayg

5

1.151523

PWSI

R_ayu

3

1.149862

PWSI

Rb_ayu

4

1.144179

PWSI

Rp_ay

10

1.144146

PWSI

R_ayu

6

1.143171

PWSI

Rb_ay

11

1.142995

PWSI

R_ayu

5

1.142777

PWSI

Rp_ayg

11

1.142772

PWSI

R_ayg

11

1.142429

PWSI

Rp_ayu

8

1.141521

PWSI

Rp_ayu

10

1.141393

PWSI

Rp_ay

7

1.139021

PWSI

Rb_ayu

10

1.137047

PWSI

Rb_ay

10

1.136167

PWSI

Rp_ayu

7

1.135534

PWSI

R_ay

8

1.135529

PWSI

Rb_ayu

7

1.135455

PWSI

Rb_ay

8

1.133007

PWSI

Rp_ay

11

1.132626

PWSI

Rb_ayg

11

1.132560

PWSI

R_ay

7

1.127916

PWSI

Rp_ayg

8

1.123731

PWSI

R_ay

10

1.122926

PWSI

Rb_ay

7

1.122365

PWSI

R_ayg

8

1.121156

PWSI

Rp_ayu

4

1.118733

PWSI

Rb_ayg

8

1.117444

PWSI

R_ay

11

1.115224

PWSI

Rb_ayu

8

1.110692

PWSO

Hy_ayu

9

1.274158

PWSO

Rb_ayu

9

1.264820

PWSO

Rp_ayu

9

1.263765

PWSO

R_ayu

9

1.259748

PWSO

H_ayu

9

1.254443

PWSO

Rp_ayu

8

1.231682

PWSO

H_ayu

16

1.230310

PWSO

Rb_ayu

8

1.230050

PWSO

Hy_ayu

16

1.228278

PWSO

Rp_ayg

12

1.220948

PWSO

Rb_ayg

12

1.220622

PWSO

R_ayg

12

1.219761

PWSO

R_ayu

8

1.219314

PWSO

Hp_ayu

16

1.217451

PWSO

Rp_ayg

14

1.216052

PWSO

Rb_ayg

14

1.215976

PWSO

Hb_ayu

16

1.215080

PWSO

Rp_ay

12

1.213123

PWSO

R_ayg

14

1.212688

PWSO

Rb_ay

12

1.212214

PWSO

Hp_ayu

8

1.211053

PWSO

Hy_ayg

10

1.209642

PWSO

R_ay

12

1.209277

PWSO

Hb_ayu

8

1.208433

PWSO

Rb_ayg

11

1.208193

PWSO

H_ayu

8

1.207620

PWSO

Rp_ayg

11

1.206129

PWSO

Hb_ayg

11

1.204534

PWSO

R_ayg

11

1.203389

PWSO

Hy_ay

10

1.202473

PWSO

Hp_ayg

11

1.201311

PWSO

Rb_ay

9

1.201154

PWSO

Rp_ay

14

1.199919

PWSO

Rb_ay

14

1.198448

PWSO

Ry_ayg

10

1.198319

PWSO

H_ayg

11

1.197666

PWSO

R_ayu

13

1.197397

PWSO

Rp_ayu

13

1.194525

PWSO

Hp_ayg

12

1.194302

PWSO

Hb_ayg

14

1.194077

PWSO

Hp_ayg

14

1.194043

PWSO

R_ayu

15

1.192900

PWSO

H_ayg

12

1.192847

PWSO

Rp_ay

9

1.192752

PWSO

R_ay

14

1.192178

PWSO

R_ay

9

1.191800

PWSO

Hb_ayg

12

1.191608

PWSO

Rp_ayu

15

1.191066

PWSO

Rb_ayu

13

1.190729

PWSO

Rb_ayg

1

1.189680

PWSO

Hb_ayu

9

1.188692

PWSO

Ry_ay

10

1.188042

PWSO

Rb_ay

11

1.187818

PWSO

Rp_ay

11

1.187170

PWSO

R_ay

13

1.186564

PWSO

Hp_ayu

9

1.186297

PWSO

Hb_ay

11

1.185733

PWSO

Rb_ay

13

1.185518

PWSO

Rp_ayg

1

1.185027

PWSO

Hp_ay

11

1.183651

PWSO

Rp_ay

13

1.182523

PWSO

Rb_ay

1

1.182482

PWSO

R_ay

10

1.182399

PWSO

Ho_ayu

16

1.182225

PWSO

Hp_ay

12

1.181953

PWSO

Hy_ayg

15

1.181947

PWSO

R_ay

11

1.181364

PWSO

R_ayg

1

1.179648

PWSO

H_ay

12

1.179637

PWSO

Rp_ay

1

1.179330

PWSO

Rb_ayu

15

1.179259

PWSO

Hb_ay

12

1.179013

PWSO

Rp_ayu

18

1.178523

PWSO

Rb_ayu

18

1.178455

PWSO

Ro_ay

13

1.178366

PWSO

Hy_ayg

13

1.178089

PWSO

Hy_ay

13

1.177635

PWSO

H_ay

11

1.177513

PWSO

Hp_ay

14

1.176769

PWSO

Hb_ay

14

1.175479

PWSO

R_ayg

10

1.174629

PWSO

Rb_ayg

13

1.173972

PWSO

Ho_ayg

13

1.173037

PWSO

H_ay

13

1.172535

PWSO

Hp_ayu

13

1.172086

PWSO

H_ayg

14

1.171961

PWSO

Rb_ay

10

1.171188

PWSO

R_ay

1

1.171146

PWSO

R_ayg

13

1.170383

PWSO

H_ay

10

1.170141

PWSO

H_ayg

10

1.169998

PWSO

H_ayg

13

1.169509

PWSO

Rp_ay

10

1.169341

PWSO

Hp_ayu

15

1.169314

PWSO

Rp_ayg

13

1.169200

PWSO

Ro_ayg

13

1.168818

PWSO

Hb_ayu

13

1.167561

PWSO

Hy_ayg

11

1.167050

PWSO

Hy_ay

15

1.166949

PWSO

Ho_ayg

12

1.162609

PWSO

Hy_ay

9

1.161234

PWSO

Hy_ayu

8

1.159494

PWSO

Ho_ayu

12

1.158369

PWSO

Ho_ay

13

1.158000

PWSO

Ro_ayu

13

1.157630

PWSO

Rb_ayg

10

1.157588

PWSO

Ho_ay

12

1.157102

PWSO

Rb_ayu

10

1.156317

PWSO

Rp_ayg

10

1.155968

PWSO

H_ay

14

1.155422

PWSO

H_ayu

13

1.154943

PWSO

Rp_ayu

10

1.154458

PWSO

Hb_ayu

15

1.153836

PWSO

H_ay

15

1.151450

PWSO

Rp_ayu

16

1.151050

PWSO

H_ayg

15

1.150060

PWSO

Hb_ayu

10

1.148804

PWSO

R_ayu

18

1.148764

PWSO

Hy_ay

11

1.148233

PWSO

Hy_ayg

12

1.148051

PWSO

Rb_ayu

16

1.147977

PWSO

Rp_ayu

6

1.146610

PWSO

Hp_ayu

10

1.146483

PWSO

R_ayu

16

1.145898

PWSO

Hb_ay

13

1.145743

PWSO

Rb_ay

8

1.145564

PWSO

Rb_ayu

6

1.145109

PWSO

H_ayu

15

1.144765

PWSO

H_ay

9

1.143715

PWSO

Hy_ay

12

1.143070

PWSO

Hp_ayu

7

1.142378

PWSO

Rb_ayg

9

1.141899

PWSO

Hp_ay

13

1.141642

PWSO

Rp_ay

8

1.141307

PWSO

R_ay

8

1.139234

PWSO

Rp_ayu

7

1.139109

PWSO

H_ayu

10

1.138714

PWSO

beta0_pH

1

1.137688

PWSO

Rp_ay

7

1.137022

PWSO

R_ayu

10

1.136943

PWSO

Rb_ay

7

1.135499

PWSO

Hb_ay

8

1.132926

PWSO

R_ay

7

1.132183

PWSO

Rp_ayg

9

1.132002

PWSO

Ho_ayu

8

1.131187

PWSO

Hb_ayg

13

1.130127

PWSO

R_ayg

9

1.129522

PWSO

Hp_ay

8

1.129173

PWSO

Rp_ay

2

1.126320

PWSO

Hy_ay

16

1.125301

PWSO

Rb_ayu

7

1.125256

PWSO

Hp_ayg

13

1.124191

PWSO

Hy_ayu

12

1.124057

PWSO

Rb_ayg

7

1.124018

PWSO

Ho_ayu

5

1.123973

PWSO

Rb_ay

2

1.122832

PWSO

Rp_ayg

7

1.122659

PWSO

Rb_ayg

3

1.122624

PWSO

R_ayg

7

1.122318

PWSO

R_ay

15

1.120754

PWSO

Rp_ayg

2

1.120328

PWSO

Rp_ayg

5

1.120313

PWSO

Rb_ayg

5

1.120157

PWSO

Hb_ayu

7

1.119980

PWSO

R_ay

2

1.119563

PWSO

Ro_ayg

14

1.118216

PWSO

Rb_ay

5

1.117853

PWSO

Rp_ay

5

1.117545

PWSO

R_ayg

2

1.116805

PWSO

Rb_ayu

2

1.116517

PWSO

Ry_ay

17

1.116483

PWSO

Rp_ayg

3

1.116343

PWSO

R_ayg

5

1.116323

PWSO

Ry_ayg

15

1.116179

PWSO

Rb_ayg

2

1.115856

PWSO

Rp_ayu

2

1.115696

PWSO

Hb_ay

10

1.115188

PWSO

Rb_ay

15

1.114051

PWSO

Rb_ay

6

1.113957

PWSO

Rb_ay

3

1.113588

PWSO

Ro_ay

12

1.113510

PWSO

R_ayg

3

1.112573

PWSO

Hp_ay

10

1.112381

PWSO

Rp_ay

6

1.112105

PWSO

Rb_ayg

8

1.111217

PWSO

Hy_ayu

13

1.110983

PWSO

Rp_ay

15

1.110913

PWSO

R_ayu

7

1.110547

PWSO

Rb_ayg

6

1.110324

SOKO2SAP

R_ayu

3

1.291560

SOKO2SAP

Rp_ayu

3

1.291560

SOKO2SAP

R_ay

3

1.291560

SOKO2SAP

Rp_ay

3

1.291560

SOKO2SAP

Rb_ayu

3

1.291551

SOKO2SAP

Rb_ay

3

1.291551

SOKO2SAP

R_ayu

13

1.291498

SOKO2SAP

Rp_ayu

13

1.291498

SOKO2SAP

R_ay

13

1.291497

SOKO2SAP

Rp_ay

13

1.291497

SOKO2SAP

Rb_ayu

13

1.291471

SOKO2SAP

Rb_ay

13

1.291470

SOKO2SAP

Rb_ayu

4

1.290896

SOKO2SAP

Rb_ay

4

1.290896

SOKO2SAP

R_ayu

4

1.290896

SOKO2SAP

Rp_ayu

4

1.290896

SOKO2SAP

R_ay

4

1.290896

SOKO2SAP

Rp_ay

4

1.290896

SOKO2SAP

Rb_ayu

10

1.290709

SOKO2SAP

Rb_ay

10

1.290709

SOKO2SAP

Rp_ayu

10

1.290706

SOKO2SAP

R_ayu

10

1.290706

SOKO2SAP

Rp_ay

10

1.290706

SOKO2SAP

R_ay

10

1.290706

SOKO2SAP

Rb_ayu

6

1.290275

SOKO2SAP

Rb_ay

6

1.290275

SOKO2SAP

Rp_ayu

6

1.290260

SOKO2SAP

Rp_ay

6

1.290260

SOKO2SAP

R_ayu

6

1.290260

SOKO2SAP

R_ay

6

1.290260

SOKO2SAP

Rb_ayu

11

1.288438

SOKO2SAP

Rb_ay

11

1.288438

SOKO2SAP

R_ayu

11

1.288353

SOKO2SAP

Rp_ayu

11

1.288353

SOKO2SAP

R_ay

11

1.288353

SOKO2SAP

Rp_ay

11

1.288353

SOKO2SAP

tau_prigui_pre

1.286217

SOKO2SAP

R_ayu

17

1.280796

SOKO2SAP

Rp_ayu

17

1.280796

SOKO2SAP

R_ay

17

1.280796

SOKO2SAP

Rp_ay

17

1.280796

SOKO2SAP

Rb_ayu

17

1.280591

SOKO2SAP

Rb_ay

17

1.280590

SOKO2SAP

R_ayu

8

1.279976

SOKO2SAP

Rp_ayu

8

1.279976

SOKO2SAP

R_ay

8

1.279976

SOKO2SAP

Rp_ay

8

1.279976

SOKO2SAP

Rb_ayu

8

1.279929

SOKO2SAP

Rb_ay

8

1.279929

SOKO2SAP

Rb_ayu

19

1.276268

SOKO2SAP

Rb_ay

19

1.276268

SOKO2SAP

R_ayu

19

1.275431

SOKO2SAP

Rp_ayu

19

1.275431

SOKO2SAP

R_ay

19

1.275431

SOKO2SAP

Rp_ay

19

1.275431

SOKO2SAP

R_ayu

12

1.262397

SOKO2SAP

Rp_ayu

12

1.262397

SOKO2SAP

R_ay

12

1.262396

SOKO2SAP

Rp_ay

12

1.262396

SOKO2SAP

Rb_ayu

12

1.258797

SOKO2SAP

Rb_ay

12

1.258796

SOKO2SAP

Rb_ayu

16

1.249030

SOKO2SAP

Rb_ay

16

1.249030

SOKO2SAP

R_ayu

16

1.245380

SOKO2SAP

R_ay

16

1.245380

SOKO2SAP

Rp_ayu

16

1.245380

SOKO2SAP

Rp_ay

16

1.245380

SOKO2SAP

R_ayu

9

1.231672

SOKO2SAP

Rp_ayu

9

1.231672

SOKO2SAP

R_ay

9

1.231672

SOKO2SAP

Rp_ay

9

1.231672

SOKO2SAP

Rb_ayu

9

1.231235

SOKO2SAP

Rb_ay

9

1.231235

SOKO2SAP

Ry_ayu

6

1.227585

SOKO2SAP

Ry_ay

6

1.227528

SOKO2SAP

Rb_ayu

7

1.200529

SOKO2SAP

Rb_ay

7

1.200529

SOKO2SAP

R_ayu

7

1.198217

SOKO2SAP

Rp_ayu

7

1.198217

SOKO2SAP

R_ay

7

1.198217

SOKO2SAP

Rp_ay

7

1.198217

SOKO2SAP

Rb_ayu

14

1.172427

SOKO2SAP

Rb_ay

14

1.172427

SOKO2SAP

R_ayu

14

1.171641

SOKO2SAP

Rp_ayu

14

1.171641

SOKO2SAP

R_ay

14

1.171641

SOKO2SAP

Rp_ay

14

1.171641

SOKO2SAP

Ro_ayu

41

1.159531

SOKO2SAP

Rb_ay

15

1.158642

SOKO2SAP

Rb_ayu

15

1.158642

SOKO2SAP

R_ay

15

1.157697

SOKO2SAP

Rp_ay

15

1.157697

SOKO2SAP

R_ayu

15

1.157697

SOKO2SAP

Rp_ayu

15

1.157697

SOKO2SAP

Rb_ay

23

1.144845

SOKO2SAP

Rb_ayu

23

1.144844

SOKO2SAP

R_ay

23

1.139716

SOKO2SAP

R_ayu

23

1.139716

SOKO2SAP

Rp_ay

23

1.139713

SOKO2SAP

Rp_ayu

23

1.139713

SOKO2SAP

Rb_ayu

28

1.135433

SOKO2SAP

Rb_ay

28

1.135401

SOKO2SAP

R_ayu

28

1.133845

SOKO2SAP

R_ay

28

1.133808

SOKO2SAP

Rp_ayu

28

1.132762

SOKO2SAP

Rp_ay

28

1.132744

SOKO2SAP

Rp_ay

18

1.132385

SOKO2SAP

R_ay

18

1.132385

SOKO2SAP

Rp_ayu

18

1.132385

SOKO2SAP

R_ayu

18

1.132385

SOKO2SAP

Rb_ay

18

1.131484

SOKO2SAP

Rb_ayu

18

1.131484

SOKO2SAP

R_ayu

22

1.128387

SOKO2SAP

R_ay

22

1.128384

SOKO2SAP

Rp_ayu

22

1.128371

SOKO2SAP

Rp_ay

22

1.128369

SOKO2SAP

Rb_ayu

21

1.124345

SOKO2SAP

Rb_ay

21

1.124330

SOKO2SAP

Rb_ayu

22

1.122451

SOKO2SAP

Rb_ay

22

1.122449

SOKO2SAP

R_ayu

21

1.119546

SOKO2SAP

Rp_ayu

21

1.119541

SOKO2SAP

R_ay

21

1.119530

SOKO2SAP

Rp_ay

21

1.119526

SSEI

tau_prigui_pre

1.291917

SSEO

Ry_ay

46

1.290785

SSEO

Ry_ayu

46

1.290785

SSEO

Rd_ay

46

1.290784

SSEO

Rd_ayu

46

1.290784

SSEO

R_ayu

46

1.290767

SSEO

R_ay

46

1.290767

SSEO

Ry_ayu

45

1.256339

SSEO

Ry_ay

45

1.255576

SSEO

Rd_ayu

45

1.249788

SSEO

Rd_ay

45

1.248690

SSEO

tau_prigui_pre

1.234736

SSEO

Rp_ayg

1

1.219087

SSEO

Rb_ayg

1

1.218907

SSEO

R_ayg

1

1.213374

SSEO

Rb_ay

1

1.204663

SSEO

Rp_ay

1

1.204297

SSEO

R_ay

1

1.190796

SSEO

Ry_ayu

19

1.144540

SSEO

Bp_ayg

1

1.138471

SSEO

Hp_ayg

1

1.136620

SSEO

Hb_ayg

1

1.136072

SSEO

Bp_ay

1

1.124448

SSEO

Hb_ay

1

1.123137

SSEO

Hp_ay

1

1.122724

WKMA

tau_prigui_pre

1.290890

WKMA

Ry_ayu

44

1.149178

WKMA

Ry_ay

44

1.148350

afognak

tau_prigui_pre

1.286422

afognak

p_black

37

1

1.283356

afognak

Rb_ayg

37

1.282406

afognak

Hb_ayg

37

1.282081

afognak

re_black

37

1

1.220842

afognak

Ry_ayu

14

1.213403

afognak

Ry_ay

14

1.208491

afognak

Ho_ayu

1

1.170015

afognak

beta2_pH

1

1.148045

afognak

Rb_ayu

3

1.134734

afognak

Rp_ayu

1

1.133895

afognak

Rp_ayu

3

1.129586

afognak

Ry_ayu

16

1.125151

afognak

R_ayu

1

1.124651

afognak

Rb_ayg

16

1.123610

afognak

R_ayu

3

1.122809

afognak

Rb_ayu

1

1.118688

afognak

Ry_ayu

13

1.116981

afognak

Rb_ayu

14

1.115521

afognak

Rp_ayg

16

1.113115

eastside

tau_prigui_pre

1.289411

eastside

Ro_ayu

7

1.285642

eastside

Ro_ay

7

1.285482

eastside

R_ayu

7

1.283807

eastside

R_ay

7

1.280489

eastside

Rp_ayu

2

1.276138

eastside

Rb_ayu

2

1.275495

eastside

Rp_ay

2

1.270475

eastside

Rb_ay

2

1.270263

eastside

Ro_ayu

5

1.257860

eastside

Ro_ay

5

1.257344

eastside

R_ayu

5

1.255183

eastside

Ry_ayu

37

1.253216

eastside

Ro_ayu

6

1.252859

eastside

Ro_ay

6

1.252580

eastside

Ry_ay

37

1.250650

eastside

Rb_ayu

10

1.247478

eastside

Rb_ayu

15

1.247258

eastside

Rb_ayu

4

1.246935

eastside

Rp_ayu

4

1.246699

eastside

Rp_ayu

10

1.245366

eastside

Rp_ayu

15

1.244682

eastside

R_ay

5

1.243295

eastside

Rb_ayu

7

1.240653

eastside

Rb_ay

4

1.239933

eastside

Rb_ayg

4

1.239591

eastside

Rb_ay

10

1.239155

eastside

Rp_ay

4

1.238735

eastside

Rp_ay

7

1.238680

eastside

Rp_ayu

7

1.238519

eastside

Rp_ayg

4

1.237188

eastside

Rb_ay

7

1.236885

eastside

Rp_ay

10

1.236567

eastside

R_ayg

4

1.233956

eastside

Rp_ayu

14

1.233159

eastside

Rb_ayu

14

1.232566

eastside

Rp_ayg

7

1.226860

eastside

R_ayg

7

1.220361

eastside

Rb_ayg

7

1.220089

eastside

Rb_ayg

5

1.213919

eastside

Rp_ayg

5

1.210570

eastside

Ro_ayu

15

1.209301

eastside

Ro_ay

15

1.208501

eastside

Ro_ayu

13

1.206983

eastside

Ro_ay

13

1.205595

eastside

R_ayg

5

1.205488

eastside

Rb_ay

15

1.204866

eastside

R_ayu

13

1.203062

eastside

Ro_ayu

2

1.202671

eastside

Ro_ay

2

1.202085

eastside

R_ayu

15

1.200251

eastside

R_ay

13

1.198747

eastside

Rp_ay

15

1.198524

eastside

R_ay

15

1.195656

eastside

Ro_ayu

11

1.194801

eastside

Rb_ayu

3

1.194445

eastside

Ro_ay

11

1.194160

eastside

Rb_ay

3

1.193588

eastside

Rp_ayu

3

1.192936

eastside

Rp_ay

3

1.192206

eastside

Rp_ayg

2

1.191883

eastside

R_ayu

11

1.191596

eastside

Rb_ayg

2

1.189024

eastside

R_ay

11

1.188730

eastside

R_ayu

2

1.184155

eastside

Ro_ayu

20

1.184035

eastside

Ro_ay

20

1.182691

eastside

Rb_ayg

3

1.182604

eastside

R_ayg

2

1.182055

eastside

R_ay

2

1.181379

eastside

Rp_ayg

3

1.179916

eastside

R_ayu

20

1.178913

eastside

Rp_ayu

11

1.172899

eastside

R_ayg

3

1.171374

eastside

R_ay

20

1.169808

eastside

Rb_ay

14

1.169376

eastside

Rb_ayu

11

1.169277

eastside

Rp_ay

14

1.165946

eastside

Ro_ayu

21

1.165011

eastside

Ro_ay

21

1.158077

eastside

R_ayu

21

1.157386

eastside

Ro_ayu

16

1.153002

eastside

Ry_ayu

44

1.150670

eastside

Ro_ayu

8

1.150335

eastside

Ry_ayu

4

1.149216

eastside

Ro_ay

8

1.148549

eastside

Ro_ay

16

1.148394

eastside

Ro_ayu

19

1.147174

eastside

R_ayu

19

1.146855

eastside

Rb_ayu

6

1.145940

eastside

Ro_ay

19

1.145253

eastside

R_ayu

8

1.142970

eastside

Ry_ayu

26

1.142406

eastside

Rb_ay

1

1.141802

eastside

Rp_ayg

1

1.141740

eastside

R_ay

19

1.141473

eastside

Rp_ay

1

1.140961

eastside

Rb_ayg

1

1.140415

eastside

Rp_ay

11

1.139650

eastside

Rb_ay

11

1.139616

eastside

R_ayu

16

1.138794

eastside

Rp_ayg

9

1.137776

eastside

R_ay

8

1.137278

eastside

R_ay

21

1.135895

eastside

Rb_ay

6

1.134457

eastside

R_ayg

9

1.132867

eastside

Rb_ayg

9

1.132594

eastside

Rp_ayu

6

1.130934

eastside

Rp_ay

5

1.126766

eastside

Ry_ayu

43

1.125690

eastside

Rb_ay

5

1.125049

eastside

R_ayg

1

1.124762

eastside

Ro_ayu

24

1.123003

eastside

R_ay

16

1.122610

eastside

Rp_ay

6

1.121009

eastside

Ry_ay

43

1.120950

eastside

Ro_ay

24

1.120892

eastside

Rp_ayu

12

1.120787

eastside

R_ayu

10

1.120367

eastside

R_ay

10

1.119446

eastside

Ro_ayu

4

1.118882

eastside

Ry_ayu

31

1.117257

eastside

Ro_ay

4

1.117020

eastside

Rb_ayu

12

1.116630

eastside

Ho_ayu

12

1.116510

eastside

Ro_ayu

14

1.115539

eastside

R_ay

3

1.114826

eastside

Ho_ayu

15

1.114099

eastside

Ro_ay

14

1.113770

eastside

R_ayu

3

1.113679

eastside

Ro_ayu

17

1.111907

eastside

Rb_ayu

1

1.110517

eastside

Ro_ay

17

1.110428

northeast

tau_prigui_pre

1.272942

northeast

Ro_ayu

4

1.221722

northeast

Rb_ayg

5

1.196173

northeast

Rp_ayg

5

1.194679

northeast

Rb_ay

5

1.192304

northeast

Rp_ay

5

1.191633

northeast

Ro_ayu

6

1.173701

northeast

Rb_ayu

2

1.165750

northeast

Rp_ayg

8

1.164772

northeast

Ro_ayg

4

1.163273

northeast

Rp_ayu

2

1.162995

northeast

Ro_ayu

11

1.162101

northeast

R_ayu

2

1.156865

northeast

Rp_ayg

4

1.155218

northeast

Rb_ayg

8

1.154923

northeast

Ro_ayu

3

1.153008

northeast

Rb_ayg

4

1.152405

northeast

Rp_ay

7

1.149897

northeast

Rp_ay

4

1.149868

northeast

Rp_ayg

7

1.147298

northeast

Rb_ay

4

1.147097

northeast

R_ayg

8

1.143609

northeast

Rp_ayg

11

1.142903

northeast

Rb_ayg

11

1.141881

northeast

Rp_ay

11

1.140855

northeast

Rb_ayu

5

1.139721

northeast

Rp_ay

2

1.139687

northeast

R_ayu

4

1.137817

northeast

Rp_ayu

5

1.137714

northeast

Rb_ay

7

1.137115

northeast

Rb_ay

11

1.136995

northeast

R_ay

11

1.135897

northeast

Rp_ay

8

1.133200

northeast

Rb_ayg

7

1.133193

northeast

Rb_ay

2

1.132915

northeast

Ro_ay

6

1.131816

northeast

R_ay

4

1.130873

northeast

Rb_ay

8

1.126271

northeast

R_ayg

11

1.124882

northeast

R_ayg

5

1.124704

northeast

R_ay

7

1.121749

northeast

R_ay

2

1.121237

northeast

Ro_ayg

6

1.119648

northeast

R_ay

5

1.119424

northeast

Ro_ay

11

1.117106

northeast

R_ayg

7

1.115798

northeast

Rp_ayg

13

1.114952

northeast

Rp_ay

6

1.114764

northeast

Ro_ayg

12

1.114605

northeast

Rp_ay

1

1.113831

northeast

Rp_ayg

6

1.113160

northeast

Rb_ay

1

1.111919

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.151 0.071 -0.286 -0.153 -0.007
mu_bc_H[2] -0.111 0.042 -0.185 -0.113 -0.020
mu_bc_H[3] -0.444 0.070 -0.577 -0.447 -0.309
mu_bc_H[4] -1.186 0.239 -1.695 -1.170 -0.770
mu_bc_H[5] 0.795 0.870 -0.312 0.627 2.830
mu_bc_H[6] -2.164 0.343 -2.821 -2.166 -1.462
mu_bc_H[7] -0.491 0.114 -0.725 -0.485 -0.277
mu_bc_H[8] 0.269 0.357 -0.331 0.227 1.083
mu_bc_H[9] -0.369 0.146 -0.656 -0.366 -0.086
mu_bc_H[10] -0.135 0.065 -0.261 -0.135 -0.005
mu_bc_H[11] -0.123 0.039 -0.198 -0.124 -0.045
mu_bc_H[12] -0.272 0.108 -0.510 -0.263 -0.077
mu_bc_H[13] -0.164 0.081 -0.320 -0.165 0.001
mu_bc_H[14] -0.338 0.105 -0.549 -0.337 -0.137
mu_bc_H[15] -0.346 0.051 -0.445 -0.347 -0.244
mu_bc_H[16] -0.240 0.396 -0.954 -0.256 0.604
mu_bc_R[1] -0.087 31.962 -62.766 -0.140 61.524
mu_bc_R[2] -0.478 31.631 -62.599 -0.692 63.796
mu_bc_R[3] -0.880 31.903 -63.004 -0.615 60.367
mu_bc_R[4] 0.232 31.735 -60.274 0.338 62.171
mu_bc_R[5] 0.573 31.430 -60.184 0.145 64.246
mu_bc_R[6] 1.055 31.188 -59.657 1.086 62.369
mu_bc_R[7] -0.533 31.936 -60.718 -0.297 62.817
mu_bc_R[8] 0.084 32.284 -62.344 0.233 64.113
mu_bc_R[9] 0.144 32.426 -65.378 -0.489 63.140
mu_bc_R[10] -1.190 31.832 -61.516 -1.826 65.079
mu_bc_R[11] 0.783 31.441 -61.660 0.482 64.022
mu_bc_R[12] 0.002 30.939 -61.128 -0.335 60.957
mu_bc_R[13] 0.085 31.664 -63.835 -0.161 61.544
mu_bc_R[14] -0.582 32.295 -62.249 -1.068 64.409
mu_bc_R[15] -0.517 31.379 -61.869 0.128 60.240
mu_bc_R[16] 0.589 32.131 -62.375 1.087 62.879
tau_pH[1] 6.363 0.554 5.329 6.348 7.456
tau_pH[2] 1.828 0.207 1.454 1.819 2.251
tau_pH[3] 2.016 0.221 1.616 2.007 2.464
beta0_pH[1,1] 0.151 0.330 -0.669 0.210 0.635
beta0_pH[2,1] 0.399 0.763 -1.552 0.657 1.327
beta0_pH[3,1] 0.658 0.854 -1.383 0.889 1.602
beta0_pH[4,1] 0.708 0.755 -1.194 0.875 1.681
beta0_pH[5,1] -1.257 0.580 -2.612 -1.142 -0.672
beta0_pH[6,1] -0.885 0.537 -2.307 -0.787 -0.172
beta0_pH[7,1] 0.744 0.087 0.574 0.744 0.911
beta0_pH[8,1] -0.734 0.388 -1.761 -0.665 -0.202
beta0_pH[9,1] -1.418 0.698 -3.328 -1.282 -0.556
beta0_pH[10,1] -0.152 0.351 -0.973 -0.092 0.303
beta0_pH[11,1] -0.126 0.189 -0.507 -0.120 0.223
beta0_pH[12,1] 0.404 0.178 0.044 0.409 0.741
beta0_pH[13,1] -0.182 0.149 -0.480 -0.180 0.109
beta0_pH[14,1] -0.386 0.160 -0.711 -0.384 -0.084
beta0_pH[15,1] -0.117 0.180 -0.482 -0.114 0.209
beta0_pH[16,1] -0.239 0.177 -0.592 -0.232 0.083
beta0_pH[1,2] 2.605 0.220 2.167 2.608 3.028
beta0_pH[2,2] 2.862 0.167 2.526 2.864 3.189
beta0_pH[3,2] 3.367 0.197 2.994 3.366 3.760
beta0_pH[4,2] 3.059 0.167 2.732 3.054 3.401
beta0_pH[5,2] 4.548 1.396 2.705 4.257 7.962
beta0_pH[6,2] 3.298 0.253 2.812 3.299 3.779
beta0_pH[7,2] 1.940 0.235 1.480 1.946 2.387
beta0_pH[8,2] 2.836 0.213 2.406 2.838 3.258
beta0_pH[9,2] 3.899 0.287 3.348 3.895 4.469
beta0_pH[10,2] 3.801 0.233 3.345 3.802 4.256
beta0_pH[11,2] 1.877 0.168 1.541 1.880 2.210
beta0_pH[12,2] 1.642 0.198 1.243 1.643 2.036
beta0_pH[13,2] 2.355 0.199 1.961 2.355 2.742
beta0_pH[14,2] 1.633 0.184 1.277 1.635 2.006
beta0_pH[15,2] 2.416 0.195 2.028 2.417 2.799
beta0_pH[16,2] 2.539 0.203 2.145 2.536 2.944
beta0_pH[1,3] 0.321 0.770 -1.602 0.459 1.292
beta0_pH[2,3] 2.081 0.189 1.711 2.076 2.449
beta0_pH[3,3] 2.628 0.170 2.292 2.623 2.957
beta0_pH[4,3] 2.998 0.188 2.628 2.997 3.374
beta0_pH[5,3] 3.320 1.839 0.887 2.911 7.936
beta0_pH[6,3] 1.230 0.386 0.542 1.210 2.042
beta0_pH[7,3] 0.546 0.199 0.163 0.541 0.946
beta0_pH[8,3] 0.282 0.207 -0.128 0.285 0.700
beta0_pH[9,3] -2.203 1.152 -4.395 -2.263 -0.274
beta0_pH[10,3] -0.765 0.995 -3.146 -0.647 0.757
beta0_pH[11,3] 1.239 0.395 0.435 1.240 2.151
beta0_pH[12,3] 1.020 0.434 0.027 1.084 1.679
beta0_pH[13,3] 1.474 0.154 1.189 1.469 1.793
beta0_pH[14,3] 0.806 0.480 -0.294 0.882 1.569
beta0_pH[15,3] 1.242 0.144 0.954 1.246 1.517
beta0_pH[16,3] 1.342 0.150 1.044 1.344 1.646
beta1_pH[1,1] 4.281 1.192 2.800 3.949 7.403
beta1_pH[2,1] 3.159 1.200 1.809 2.751 6.448
beta1_pH[3,1] 3.183 1.574 1.526 2.751 6.946
beta1_pH[4,1] 3.451 1.254 1.897 3.150 6.641
beta1_pH[5,1] 2.677 0.633 1.984 2.557 4.151
beta1_pH[6,1] 3.073 0.909 1.791 2.923 5.334
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 3.064 0.773 1.940 2.919 5.039
beta1_pH[9,1] 3.052 0.871 2.055 2.886 5.127
beta1_pH[10,1] 2.751 0.491 2.129 2.669 3.790
beta1_pH[11,1] 3.367 0.239 2.928 3.354 3.885
beta1_pH[12,1] 2.998 0.209 2.603 2.992 3.422
beta1_pH[13,1] 2.902 0.212 2.495 2.894 3.326
beta1_pH[14,1] 3.482 0.219 3.074 3.475 3.919
beta1_pH[15,1] 2.719 0.229 2.289 2.712 3.191
beta1_pH[16,1] 3.047 0.230 2.632 3.041 3.513
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 3.025 1.671 1.178 2.473 7.365
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 3.440 0.751 2.048 3.424 4.977
beta1_pH[9,3] 4.474 1.388 2.272 4.423 7.326
beta1_pH[10,3] 6.200 2.597 2.732 5.589 12.781
beta1_pH[11,3] 1.410 0.471 0.211 1.422 2.318
beta1_pH[12,3] 2.262 0.498 1.431 2.219 3.385
beta1_pH[13,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,3] 1.432 0.547 0.425 1.394 2.613
beta1_pH[15,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 0.321 0.117 0.145 0.304 0.585
beta2_pH[2,1] 0.398 0.289 0.096 0.325 1.077
beta2_pH[3,1] 0.371 0.392 0.070 0.242 1.353
beta2_pH[4,1] 0.292 0.185 0.090 0.241 0.743
beta2_pH[5,1] 1.589 1.069 0.317 1.427 4.412
beta2_pH[6,1] 0.240 0.186 0.098 0.209 0.527
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.256 0.158 0.110 0.237 0.492
beta2_pH[9,1] 0.355 0.140 0.160 0.330 0.710
beta2_pH[10,1] 0.536 0.247 0.228 0.492 1.131
beta2_pH[11,1] 0.759 0.172 0.470 0.741 1.132
beta2_pH[12,1] 1.115 0.308 0.698 1.050 1.861
beta2_pH[13,1] 0.789 0.195 0.468 0.769 1.223
beta2_pH[14,1] 0.810 0.166 0.539 0.793 1.186
beta2_pH[15,1] 0.725 0.209 0.399 0.699 1.198
beta2_pH[16,1] 0.792 0.200 0.469 0.770 1.256
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 4.180 5.729 0.114 0.913 19.418
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 5.447 3.632 1.028 4.640 14.173
beta2_pH[9,3] 1.879 3.570 0.198 0.464 13.053
beta2_pH[10,3] 1.209 3.111 0.126 0.341 12.171
beta2_pH[11,3] -8.186 5.685 -22.133 -7.033 -1.061
beta2_pH[12,3] -8.103 5.521 -21.885 -6.750 -1.378
beta2_pH[13,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,3] -8.167 5.535 -21.863 -6.790 -1.282
beta2_pH[15,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,3] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 36.689 1.743 34.054 36.361 40.967
beta3_pH[2,1] 30.737 2.175 25.997 31.021 34.590
beta3_pH[3,1] 32.426 2.750 26.526 32.618 38.896
beta3_pH[4,1] 31.766 2.233 26.836 31.915 36.173
beta3_pH[5,1] 27.021 0.798 25.157 27.131 27.968
beta3_pH[6,1] 34.240 3.228 27.856 34.222 40.501
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 37.210 2.545 31.648 37.431 41.465
beta3_pH[9,1] 28.350 1.733 24.529 28.430 31.567
beta3_pH[10,1] 31.685 0.996 29.559 31.730 33.463
beta3_pH[11,1] 30.380 0.456 29.477 30.376 31.279
beta3_pH[12,1] 30.369 0.358 29.628 30.378 31.024
beta3_pH[13,1] 32.486 0.512 31.500 32.472 33.501
beta3_pH[14,1] 31.982 0.430 31.155 31.970 32.879
beta3_pH[15,1] 31.207 0.629 29.977 31.198 32.467
beta3_pH[16,1] 30.701 0.493 29.711 30.699 31.650
beta3_pH[1,2] 33.647 4.887 25.474 33.725 41.608
beta3_pH[2,2] 33.518 4.932 25.417 33.631 41.481
beta3_pH[3,2] 30.136 6.872 18.544 30.089 41.471
beta3_pH[4,2] 29.830 6.832 18.655 29.800 41.293
beta3_pH[5,2] 29.895 6.980 18.499 29.906 41.371
beta3_pH[6,2] 30.006 6.872 18.649 30.027 41.299
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 36.975 2.877 31.705 36.652 41.450
beta3_pH[2,3] 33.597 4.874 25.497 33.670 41.536
beta3_pH[3,3] 30.071 6.817 18.539 30.073 41.320
beta3_pH[4,3] 30.188 6.886 18.646 30.288 41.437
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.529 0.425 40.963 41.570 41.950
beta3_pH[9,3] 30.976 1.888 28.178 30.615 34.145
beta3_pH[10,3] 36.316 2.067 32.834 36.099 41.169
beta3_pH[11,3] 40.154 1.317 38.124 40.203 42.271
beta3_pH[12,3] 40.814 0.657 39.422 40.935 41.887
beta3_pH[13,3] 40.000 0.000 40.000 40.000 40.000
beta3_pH[14,3] 40.359 1.104 38.407 40.436 41.932
beta3_pH[15,3] 40.000 0.000 40.000 40.000 40.000
beta3_pH[16,3] 40.000 0.000 40.000 40.000 40.000
beta4_pH[1,1] 0.691 0.283 0.305 0.652 1.280
beta4_pH[2,1] 0.852 0.212 0.545 0.815 1.258
beta4_pH[3,1] 0.907 0.282 0.513 0.861 1.469
beta4_pH[4,1] 0.812 0.269 0.431 0.777 1.347
beta4_pH[5,1] 0.686 0.530 0.088 0.559 1.981
beta4_pH[6,1] 1.890 1.666 0.228 1.378 6.413
beta4_pH[7,1] 1.121 0.612 0.352 0.983 2.506
beta4_pH[8,1] 0.753 0.422 0.226 0.662 1.727
beta4_pH[9,1] 0.928 0.541 0.280 0.782 2.184
beta4_pH[10,1] 0.717 0.273 0.346 0.675 1.282
beta4_pH[11,1] 0.687 0.245 0.352 0.645 1.185
beta4_pH[12,1] 0.926 0.377 0.437 0.829 1.740
beta4_pH[13,1] 0.743 0.264 0.382 0.697 1.288
beta4_pH[14,1] 1.018 0.328 0.562 0.963 1.703
beta4_pH[15,1] 0.924 0.271 0.538 0.885 1.443
beta4_pH[16,1] 0.894 0.357 0.422 0.818 1.653
beta4_pH[1,2] 0.692 0.287 0.306 0.652 1.276
beta4_pH[2,2] 0.850 0.214 0.544 0.821 1.254
beta4_pH[3,2] 0.908 0.281 0.513 0.857 1.469
beta4_pH[4,2] 0.805 0.266 0.433 0.769 1.344
beta4_pH[5,2] 0.678 0.525 0.089 0.555 1.999
beta4_pH[6,2] 1.961 1.749 0.234 1.365 6.699
beta4_pH[7,2] 1.083 0.603 0.349 0.943 2.487
beta4_pH[8,2] 0.753 0.419 0.225 0.669 1.712
beta4_pH[9,2] 0.933 0.536 0.278 0.791 2.172
beta4_pH[10,2] 0.722 0.278 0.342 0.681 1.290
beta4_pH[11,2] 0.689 0.245 0.350 0.649 1.188
beta4_pH[12,2] 0.926 0.372 0.440 0.833 1.724
beta4_pH[13,2] 0.748 0.266 0.379 0.697 1.293
beta4_pH[14,2] 1.028 0.330 0.565 0.967 1.702
beta4_pH[15,2] 0.920 0.268 0.537 0.885 1.435
beta4_pH[16,2] 0.902 0.360 0.419 0.824 1.649
beta4_pH[1,3] 0.694 0.291 0.303 0.643 1.295
beta4_pH[2,3] 0.849 0.211 0.544 0.817 1.256
beta4_pH[3,3] 0.905 0.283 0.515 0.856 1.475
beta4_pH[4,3] 0.807 0.269 0.432 0.769 1.347
beta4_pH[5,3] 0.662 0.511 0.086 0.535 1.937
beta4_pH[6,3] 1.883 1.732 0.229 1.307 6.656
beta4_pH[7,3] 1.092 0.606 0.349 0.955 2.471
beta4_pH[8,3] 0.782 0.436 0.226 0.697 1.739
beta4_pH[9,3] 0.931 0.539 0.277 0.792 2.188
beta4_pH[10,3] 0.727 0.273 0.349 0.689 1.281
beta4_pH[11,3] 0.696 0.248 0.353 0.651 1.191
beta4_pH[12,3] 0.915 0.369 0.436 0.821 1.709
beta4_pH[13,3] 0.752 0.266 0.380 0.706 1.293
beta4_pH[14,3] 1.028 0.328 0.567 0.972 1.700
beta4_pH[15,3] 0.923 0.271 0.540 0.885 1.447
beta4_pH[16,3] 0.885 0.350 0.420 0.806 1.635
beta4_pH[1,4] 0.690 0.282 0.304 0.650 1.279
beta4_pH[2,4] 0.852 0.213 0.545 0.822 1.262
beta4_pH[3,4] 0.911 0.284 0.518 0.859 1.477
beta4_pH[4,4] 0.814 0.269 0.430 0.780 1.350
beta4_pH[5,4] 0.686 0.535 0.085 0.548 2.018
beta4_pH[6,4] 1.954 1.736 0.235 1.400 6.700
beta4_pH[7,4] 1.105 0.608 0.347 0.976 2.495
beta4_pH[8,4] 0.750 0.416 0.225 0.663 1.715
beta4_pH[9,4] 0.921 0.548 0.275 0.771 2.219
beta4_pH[10,4] 0.729 0.277 0.344 0.687 1.285
beta4_pH[11,4] 0.693 0.249 0.353 0.647 1.187
beta4_pH[12,4] 0.928 0.377 0.437 0.836 1.731
beta4_pH[13,4] 0.752 0.268 0.379 0.710 1.296
beta4_pH[14,4] 1.031 0.332 0.558 0.972 1.696
beta4_pH[15,4] 0.912 0.270 0.535 0.866 1.441
beta4_pH[16,4] 0.898 0.360 0.422 0.823 1.646
beta4_pH[1,5] 0.690 0.282 0.306 0.644 1.275
beta4_pH[2,5] 0.848 0.210 0.547 0.819 1.262
beta4_pH[3,5] 0.916 0.284 0.516 0.868 1.482
beta4_pH[4,5] 0.805 0.270 0.429 0.763 1.345
beta4_pH[5,5] 0.685 0.530 0.086 0.563 1.973
beta4_pH[6,5] 1.924 1.703 0.233 1.379 6.633
beta4_pH[7,5] 1.079 0.604 0.351 0.939 2.493
beta4_pH[8,5] 0.771 0.430 0.227 0.695 1.720
beta4_pH[9,5] 0.923 0.543 0.272 0.792 2.190
beta4_pH[10,5] 0.722 0.274 0.346 0.686 1.291
beta4_pH[11,5] 0.692 0.246 0.352 0.655 1.193
beta4_pH[12,5] 0.918 0.372 0.437 0.832 1.724
beta4_pH[13,5] 0.744 0.264 0.382 0.697 1.279
beta4_pH[14,5] 1.024 0.327 0.562 0.964 1.685
beta4_pH[15,5] 0.914 0.263 0.538 0.874 1.442
beta4_pH[16,5] 0.896 0.355 0.421 0.817 1.648
beta4_pH[1,6] 0.697 0.282 0.303 0.657 1.281
beta4_pH[2,6] 0.847 0.211 0.545 0.813 1.265
beta4_pH[3,6] 0.915 0.280 0.517 0.873 1.473
beta4_pH[4,6] 0.804 0.266 0.434 0.762 1.341
beta4_pH[5,6] 0.679 0.525 0.086 0.557 2.006
beta4_pH[6,6] 1.946 1.728 0.234 1.379 6.668
beta4_pH[7,6] 1.095 0.598 0.353 0.960 2.463
beta4_pH[8,6] 0.774 0.435 0.226 0.691 1.747
beta4_pH[9,6] 0.920 0.538 0.279 0.781 2.181
beta4_pH[10,6] 0.722 0.273 0.346 0.681 1.279
beta4_pH[11,6] 0.683 0.243 0.350 0.644 1.180
beta4_pH[12,6] 0.929 0.378 0.440 0.837 1.733
beta4_pH[13,6] 0.757 0.268 0.379 0.712 1.283
beta4_pH[14,6] 1.024 0.334 0.561 0.963 1.702
beta4_pH[15,6] 0.916 0.268 0.542 0.863 1.444
beta4_pH[16,6] 0.898 0.355 0.418 0.829 1.652
beta4_pH[1,7] 0.694 0.286 0.309 0.654 1.287
beta4_pH[2,7] 0.855 0.214 0.546 0.828 1.260
beta4_pH[3,7] 0.911 0.285 0.513 0.865 1.476
beta4_pH[4,7] 0.810 0.268 0.430 0.776 1.341
beta4_pH[5,7] 0.680 0.525 0.086 0.557 1.950
beta4_pH[6,7] 1.920 1.688 0.229 1.395 6.614
beta4_pH[7,7] 1.107 0.610 0.345 0.966 2.465
beta4_pH[8,7] 0.759 0.425 0.224 0.664 1.722
beta4_pH[9,7] 0.929 0.534 0.270 0.793 2.162
beta4_pH[10,7] 0.729 0.275 0.347 0.690 1.296
beta4_pH[11,7] 0.689 0.247 0.353 0.642 1.187
beta4_pH[12,7] 0.918 0.373 0.439 0.821 1.721
beta4_pH[13,7] 0.742 0.263 0.381 0.699 1.281
beta4_pH[14,7] 1.023 0.322 0.566 0.969 1.691
beta4_pH[15,7] 0.915 0.270 0.537 0.869 1.449
beta4_pH[16,7] 0.901 0.356 0.421 0.825 1.658
beta4_pH[1,8] 0.688 0.285 0.304 0.637 1.280
beta4_pH[2,8] 0.850 0.213 0.544 0.821 1.260
beta4_pH[3,8] 0.908 0.277 0.513 0.865 1.474
beta4_pH[4,8] 0.815 0.267 0.434 0.774 1.342
beta4_pH[5,8] 0.683 0.519 0.088 0.557 1.989
beta4_pH[6,8] 1.943 1.733 0.229 1.372 6.654
beta4_pH[7,8] 1.080 0.600 0.342 0.939 2.451
beta4_pH[8,8] 0.760 0.426 0.226 0.677 1.721
beta4_pH[9,8] 0.922 0.548 0.275 0.778 2.200
beta4_pH[10,8] 0.731 0.279 0.344 0.694 1.297
beta4_pH[11,8] 0.678 0.239 0.352 0.636 1.190
beta4_pH[12,8] 0.927 0.378 0.434 0.836 1.721
beta4_pH[13,8] 0.749 0.267 0.381 0.701 1.296
beta4_pH[14,8] 1.023 0.331 0.562 0.964 1.696
beta4_pH[15,8] 0.918 0.267 0.540 0.874 1.444
beta4_pH[16,8] 0.908 0.363 0.419 0.821 1.653
beta4_pH[1,9] 0.696 0.287 0.305 0.645 1.281
beta4_pH[2,9] 0.849 0.211 0.546 0.821 1.261
beta4_pH[3,9] 0.907 0.280 0.514 0.859 1.469
beta4_pH[4,9] 0.809 0.268 0.433 0.770 1.339
beta4_pH[5,9] 0.677 0.523 0.087 0.552 1.967
beta4_pH[6,9] 2.002 1.796 0.231 1.396 6.857
beta4_pH[7,9] 1.103 0.613 0.351 0.960 2.501
beta4_pH[8,9] 0.759 0.428 0.227 0.674 1.722
beta4_pH[9,9] 0.941 0.547 0.277 0.791 2.209
beta4_pH[10,9] 0.722 0.272 0.347 0.682 1.291
beta4_pH[11,9] 0.688 0.242 0.355 0.648 1.184
beta4_pH[12,9] 0.925 0.376 0.437 0.826 1.729
beta4_pH[13,9] 0.742 0.263 0.376 0.698 1.285
beta4_pH[14,9] 1.028 0.332 0.563 0.969 1.692
beta4_pH[15,9] 0.918 0.271 0.536 0.878 1.445
beta4_pH[16,9] 0.895 0.359 0.417 0.816 1.654
beta4_pH[1,10] 0.690 0.286 0.305 0.636 1.289
beta4_pH[2,10] 0.853 0.212 0.547 0.819 1.260
beta4_pH[3,10] 0.910 0.278 0.515 0.869 1.466
beta4_pH[4,10] 0.809 0.265 0.433 0.775 1.347
beta4_pH[5,10] 0.668 0.523 0.086 0.542 1.984
beta4_pH[6,10] 1.900 1.671 0.230 1.371 6.430
beta4_pH[7,10] 1.086 0.596 0.346 0.954 2.455
beta4_pH[8,10] 0.758 0.425 0.224 0.667 1.724
beta4_pH[9,10] 0.927 0.536 0.277 0.782 2.180
beta4_pH[10,10] 0.727 0.277 0.346 0.683 1.288
beta4_pH[11,10] 0.693 0.245 0.353 0.649 1.187
beta4_pH[12,10] 0.924 0.378 0.437 0.833 1.742
beta4_pH[13,10] 0.744 0.267 0.377 0.696 1.301
beta4_pH[14,10] 1.024 0.333 0.561 0.977 1.704
beta4_pH[15,10] 0.913 0.263 0.543 0.871 1.440
beta4_pH[16,10] 0.898 0.354 0.419 0.830 1.639
beta4_pH[1,11] 0.685 0.284 0.304 0.633 1.276
beta4_pH[2,11] 0.858 0.215 0.543 0.824 1.262
beta4_pH[3,11] 0.909 0.281 0.516 0.863 1.472
beta4_pH[4,11] 0.801 0.268 0.433 0.754 1.349
beta4_pH[5,11] 0.659 0.511 0.085 0.526 1.902
beta4_pH[6,11] 1.951 1.764 0.226 1.385 6.690
beta4_pH[7,11] 1.085 0.597 0.347 0.939 2.475
beta4_pH[8,11] 0.750 0.422 0.227 0.660 1.739
beta4_pH[9,11] 0.909 0.537 0.272 0.776 2.188
beta4_pH[10,11] 0.728 0.276 0.344 0.686 1.293
beta4_pH[11,11] 0.682 0.243 0.353 0.640 1.191
beta4_pH[12,11] 0.917 0.371 0.436 0.830 1.719
beta4_pH[13,11] 0.750 0.263 0.382 0.707 1.283
beta4_pH[14,11] 1.022 0.329 0.562 0.964 1.688
beta4_pH[15,11] 0.911 0.269 0.537 0.867 1.446
beta4_pH[16,11] 0.898 0.360 0.419 0.819 1.657
beta4_pH[1,12] 0.695 0.286 0.306 0.656 1.282
beta4_pH[2,12] 0.848 0.214 0.542 0.816 1.264
beta4_pH[3,12] 0.908 0.287 0.512 0.857 1.484
beta4_pH[4,12] 0.806 0.270 0.429 0.765 1.340
beta4_pH[5,12] 0.666 0.511 0.088 0.544 1.951
beta4_pH[6,12] 1.908 1.720 0.235 1.339 6.604
beta4_pH[7,12] 1.095 0.598 0.352 0.956 2.489
beta4_pH[8,12] 0.772 0.433 0.226 0.683 1.717
beta4_pH[9,12] 0.919 0.539 0.277 0.778 2.194
beta4_pH[10,12] 0.724 0.273 0.348 0.687 1.292
beta4_pH[11,12] 0.688 0.246 0.351 0.643 1.187
beta4_pH[12,12] 0.920 0.370 0.438 0.830 1.724
beta4_pH[13,12] 0.739 0.267 0.379 0.687 1.281
beta4_pH[14,12] 1.024 0.333 0.562 0.974 1.699
beta4_pH[15,12] 0.908 0.261 0.536 0.871 1.448
beta4_pH[16,12] 0.896 0.359 0.421 0.815 1.653
beta4_pH[1,13] 0.688 0.284 0.304 0.647 1.286
beta4_pH[2,13] 0.856 0.213 0.545 0.832 1.262
beta4_pH[3,13] 0.913 0.281 0.515 0.869 1.470
beta4_pH[4,13] 0.809 0.268 0.431 0.769 1.342
beta4_pH[5,13] 0.685 0.525 0.086 0.569 1.979
beta4_pH[6,13] 1.899 1.736 0.226 1.335 6.738
beta4_pH[7,13] 1.100 0.607 0.350 0.963 2.487
beta4_pH[8,13] 0.769 0.435 0.227 0.675 1.727
beta4_pH[9,13] 0.940 0.553 0.277 0.792 2.197
beta4_pH[10,13] 0.718 0.274 0.347 0.675 1.293
beta4_pH[11,13] 0.689 0.247 0.354 0.642 1.188
beta4_pH[12,13] 0.922 0.378 0.435 0.828 1.738
beta4_pH[13,13] 0.744 0.259 0.384 0.701 1.284
beta4_pH[14,13] 1.028 0.337 0.561 0.966 1.710
beta4_pH[15,13] 0.917 0.267 0.537 0.880 1.450
beta4_pH[16,13] 0.882 0.356 0.416 0.805 1.630
beta4_pH[1,14] 0.689 0.283 0.307 0.642 1.280
beta4_pH[2,14] 0.851 0.212 0.544 0.821 1.255
beta4_pH[3,14] 0.918 0.283 0.517 0.872 1.472
beta4_pH[4,14] 0.814 0.270 0.432 0.772 1.355
beta4_pH[5,14] 0.682 0.521 0.084 0.562 1.966
beta4_pH[6,14] 1.962 1.737 0.233 1.366 6.664
beta4_pH[7,14] 1.105 0.608 0.351 0.957 2.490
beta4_pH[8,14] 0.765 0.425 0.223 0.680 1.722
beta4_pH[9,14] 0.936 0.552 0.274 0.790 2.202
beta4_pH[10,14] 0.723 0.274 0.346 0.685 1.287
beta4_pH[11,14] 0.690 0.241 0.354 0.649 1.191
beta4_pH[12,14] 0.918 0.371 0.441 0.826 1.728
beta4_pH[13,14] 0.748 0.264 0.385 0.696 1.294
beta4_pH[14,14] 1.030 0.335 0.566 0.970 1.697
beta4_pH[15,14] 0.918 0.268 0.538 0.875 1.446
beta4_pH[16,14] 0.893 0.358 0.421 0.814 1.664
beta4_pH[1,15] 0.693 0.284 0.306 0.647 1.282
beta4_pH[2,15] 0.854 0.213 0.547 0.821 1.259
beta4_pH[3,15] 0.904 0.279 0.512 0.864 1.468
beta4_pH[4,15] 0.812 0.266 0.432 0.773 1.341
beta4_pH[5,15] 0.680 0.524 0.088 0.556 2.002
beta4_pH[6,15] 1.943 1.764 0.224 1.345 6.752
beta4_pH[7,15] 1.087 0.594 0.351 0.953 2.460
beta4_pH[8,15] 0.757 0.419 0.226 0.673 1.699
beta4_pH[9,15] 0.954 0.556 0.279 0.803 2.199
beta4_pH[10,15] 0.721 0.278 0.345 0.673 1.292
beta4_pH[11,15] 0.693 0.244 0.351 0.650 1.194
beta4_pH[12,15] 0.919 0.373 0.442 0.816 1.724
beta4_pH[13,15] 0.742 0.263 0.380 0.691 1.286
beta4_pH[14,15] 1.029 0.326 0.567 0.970 1.698
beta4_pH[15,15] 0.917 0.269 0.536 0.872 1.440
beta4_pH[16,15] 0.904 0.360 0.420 0.822 1.651
beta4_pH[1,16] 0.694 0.282 0.305 0.651 1.284
beta4_pH[2,16] 0.847 0.212 0.545 0.815 1.263
beta4_pH[3,16] 0.907 0.282 0.514 0.861 1.472
beta4_pH[4,16] 0.805 0.270 0.430 0.767 1.351
beta4_pH[5,16] 0.670 0.516 0.089 0.545 1.962
beta4_pH[6,16] 1.983 1.763 0.229 1.397 6.745
beta4_pH[7,16] 1.102 0.612 0.348 0.957 2.481
beta4_pH[8,16] 0.763 0.422 0.224 0.677 1.711
beta4_pH[9,16] 0.930 0.536 0.280 0.788 2.180
beta4_pH[10,16] 0.730 0.274 0.345 0.690 1.293
beta4_pH[11,16] 0.693 0.246 0.350 0.652 1.188
beta4_pH[12,16] 0.929 0.377 0.438 0.829 1.719
beta4_pH[13,16] 0.740 0.266 0.379 0.693 1.297
beta4_pH[14,16] 1.021 0.330 0.561 0.963 1.700
beta4_pH[15,16] 0.922 0.266 0.538 0.874 1.447
beta4_pH[16,16] 0.898 0.357 0.419 0.828 1.651
beta4_pH[1,17] 0.691 0.287 0.305 0.646 1.271
beta4_pH[2,17] 0.859 0.215 0.544 0.832 1.265
beta4_pH[3,17] 0.907 0.282 0.513 0.863 1.473
beta4_pH[4,17] 0.810 0.266 0.432 0.774 1.344
beta4_pH[5,17] 0.673 0.520 0.086 0.542 1.966
beta4_pH[6,17] 1.905 1.706 0.230 1.347 6.657
beta4_pH[7,17] 1.121 0.617 0.346 0.975 2.517
beta4_pH[8,17] 0.762 0.421 0.227 0.684 1.710
beta4_pH[9,17] 0.911 0.528 0.275 0.778 2.164
beta4_pH[10,17] 0.716 0.274 0.345 0.672 1.280
beta4_pH[11,17] 0.689 0.242 0.355 0.648 1.183
beta4_pH[12,17] 0.923 0.371 0.436 0.834 1.719
beta4_pH[13,17] 0.744 0.263 0.380 0.698 1.294
beta4_pH[14,17] 1.015 0.329 0.562 0.956 1.683
beta4_pH[15,17] 0.910 0.258 0.539 0.866 1.442
beta4_pH[16,17] 0.899 0.359 0.421 0.818 1.648
beta4_pH[1,18] 0.693 0.289 0.304 0.646 1.291
beta4_pH[2,18] 0.847 0.212 0.544 0.810 1.258
beta4_pH[3,18] 0.910 0.286 0.512 0.864 1.477
beta4_pH[4,18] 0.810 0.266 0.430 0.775 1.340
beta4_pH[5,18] 0.656 0.513 0.084 0.535 1.944
beta4_pH[6,18] 1.999 1.755 0.232 1.403 6.710
beta4_pH[7,18] 1.095 0.604 0.347 0.962 2.479
beta4_pH[8,18] 0.764 0.422 0.225 0.685 1.697
beta4_pH[9,18] 0.933 0.543 0.278 0.793 2.177
beta4_pH[10,18] 0.729 0.276 0.345 0.690 1.283
beta4_pH[11,18] 0.699 0.247 0.351 0.657 1.201
beta4_pH[12,18] 0.924 0.375 0.440 0.830 1.725
beta4_pH[13,18] 0.745 0.263 0.381 0.699 1.289
beta4_pH[14,18] 1.020 0.339 0.558 0.955 1.708
beta4_pH[15,18] 0.912 0.269 0.535 0.864 1.448
beta4_pH[16,18] 0.897 0.359 0.418 0.817 1.644
beta4_pH[1,19] 0.696 0.283 0.310 0.656 1.284
beta4_pH[2,19] 0.843 0.211 0.542 0.806 1.255
beta4_pH[3,19] 0.908 0.279 0.511 0.862 1.474
beta4_pH[4,19] 0.802 0.264 0.432 0.767 1.336
beta4_pH[5,19] 0.668 0.525 0.087 0.538 1.991
beta4_pH[6,19] 1.947 1.733 0.229 1.402 6.667
beta4_pH[7,19] 1.088 0.605 0.346 0.948 2.453
beta4_pH[8,19] 0.754 0.421 0.227 0.666 1.716
beta4_pH[9,19] 0.923 0.537 0.278 0.783 2.193
beta4_pH[10,19] 0.724 0.276 0.344 0.691 1.296
beta4_pH[11,19] 0.688 0.242 0.351 0.642 1.182
beta4_pH[12,19] 0.931 0.372 0.439 0.850 1.716
beta4_pH[13,19] 0.746 0.265 0.379 0.707 1.288
beta4_pH[14,19] 1.021 0.328 0.565 0.958 1.700
beta4_pH[15,19] 0.914 0.266 0.538 0.875 1.444
beta4_pH[16,19] 0.896 0.357 0.419 0.815 1.650
beta4_pH[1,20] 0.691 0.284 0.308 0.640 1.279
beta4_pH[2,20] 0.847 0.209 0.543 0.817 1.253
beta4_pH[3,20] 0.909 0.281 0.513 0.865 1.480
beta4_pH[4,20] 0.807 0.268 0.431 0.767 1.339
beta4_pH[5,20] 0.661 0.521 0.085 0.524 1.952
beta4_pH[6,20] 1.963 1.755 0.235 1.383 6.726
beta4_pH[7,20] 1.114 0.607 0.352 0.973 2.484
beta4_pH[8,20] 0.753 0.427 0.223 0.653 1.710
beta4_pH[9,20] 0.923 0.544 0.274 0.785 2.197
beta4_pH[10,20] 0.722 0.273 0.345 0.687 1.298
beta4_pH[11,20] 0.698 0.245 0.352 0.655 1.196
beta4_pH[12,20] 0.924 0.371 0.439 0.836 1.725
beta4_pH[13,20] 0.748 0.270 0.379 0.697 1.295
beta4_pH[14,20] 1.030 0.332 0.564 0.972 1.694
beta4_pH[15,20] 0.913 0.264 0.536 0.867 1.442
beta4_pH[16,20] 0.895 0.358 0.418 0.824 1.660
beta4_pH[1,21] 0.683 0.284 0.303 0.631 1.285
beta4_pH[2,21] 0.847 0.214 0.543 0.814 1.259
beta4_pH[3,21] 0.913 0.284 0.514 0.868 1.478
beta4_pH[4,21] 0.799 0.264 0.432 0.750 1.343
beta4_pH[5,21] 0.669 0.522 0.088 0.539 1.976
beta4_pH[6,21] 1.958 1.761 0.232 1.354 6.775
beta4_pH[7,21] 1.097 0.604 0.349 0.969 2.449
beta4_pH[8,21] 0.764 0.426 0.226 0.670 1.729
beta4_pH[9,21] 0.939 0.551 0.274 0.792 2.201
beta4_pH[10,21] 0.717 0.273 0.342 0.678 1.281
beta4_pH[11,21] 0.689 0.245 0.353 0.645 1.191
beta4_pH[12,21] 0.934 0.377 0.439 0.847 1.731
beta4_pH[13,21] 0.748 0.268 0.380 0.701 1.292
beta4_pH[14,21] 1.029 0.334 0.562 0.967 1.708
beta4_pH[15,21] 0.916 0.267 0.537 0.870 1.438
beta4_pH[16,21] 0.900 0.357 0.419 0.834 1.653
beta4_pH[1,22] 0.699 0.290 0.305 0.653 1.299
beta4_pH[2,22] 0.851 0.211 0.545 0.821 1.257
beta4_pH[3,22] 0.905 0.285 0.513 0.856 1.473
beta4_pH[4,22] 0.807 0.267 0.429 0.768 1.340
beta4_pH[5,22] 0.654 0.505 0.088 0.540 1.936
beta4_pH[6,22] 1.936 1.700 0.228 1.405 6.616
beta4_pH[7,22] 1.110 0.611 0.350 0.965 2.491
beta4_pH[8,22] 0.764 0.432 0.228 0.682 1.720
beta4_pH[9,22] 0.927 0.540 0.273 0.787 2.151
beta4_pH[10,22] 0.714 0.274 0.344 0.675 1.288
beta4_pH[11,22] 0.693 0.243 0.354 0.653 1.184
beta4_pH[12,22] 0.926 0.375 0.435 0.832 1.730
beta4_pH[13,22] 0.744 0.263 0.378 0.700 1.287
beta4_pH[14,22] 1.029 0.333 0.564 0.969 1.705
beta4_pH[15,22] 0.909 0.265 0.536 0.869 1.444
beta4_pH[16,22] 0.904 0.360 0.422 0.834 1.650
beta4_pH[1,23] 0.690 0.283 0.306 0.647 1.280
beta4_pH[2,23] 0.847 0.211 0.543 0.818 1.262
beta4_pH[3,23] 0.911 0.281 0.513 0.872 1.468
beta4_pH[4,23] 0.813 0.267 0.432 0.776 1.346
beta4_pH[5,23] 0.660 0.511 0.084 0.544 1.954
beta4_pH[6,23] 1.941 1.738 0.234 1.366 6.790
beta4_pH[7,23] 1.094 0.602 0.346 0.955 2.462
beta4_pH[8,23] 0.753 0.425 0.223 0.666 1.715
beta4_pH[9,23] 0.911 0.531 0.273 0.783 2.174
beta4_pH[10,23] 0.731 0.272 0.347 0.694 1.283
beta4_pH[11,23] 0.689 0.244 0.352 0.650 1.182
beta4_pH[12,23] 0.932 0.376 0.438 0.843 1.732
beta4_pH[13,23] 0.738 0.266 0.379 0.692 1.291
beta4_pH[14,23] 1.019 0.333 0.566 0.956 1.702
beta4_pH[15,23] 0.920 0.270 0.536 0.875 1.446
beta4_pH[16,23] 0.895 0.358 0.418 0.824 1.660
beta4_pH[1,24] 0.688 0.285 0.305 0.640 1.286
beta4_pH[2,24] 0.847 0.213 0.544 0.816 1.261
beta4_pH[3,24] 0.922 0.290 0.515 0.880 1.477
beta4_pH[4,24] 0.805 0.266 0.430 0.766 1.337
beta4_pH[5,24] 0.653 0.506 0.086 0.532 1.908
beta4_pH[6,24] 1.937 1.736 0.228 1.372 6.731
beta4_pH[7,24] 1.112 0.609 0.349 0.972 2.480
beta4_pH[8,24] 0.762 0.425 0.227 0.679 1.721
beta4_pH[9,24] 0.926 0.543 0.274 0.774 2.183
beta4_pH[10,24] 0.719 0.271 0.349 0.679 1.282
beta4_pH[11,24] 0.691 0.247 0.350 0.644 1.189
beta4_pH[12,24] 0.926 0.376 0.436 0.840 1.733
beta4_pH[13,24] 0.747 0.266 0.382 0.697 1.294
beta4_pH[14,24] 1.027 0.337 0.561 0.969 1.703
beta4_pH[15,24] 0.908 0.265 0.537 0.864 1.446
beta4_pH[16,24] 0.905 0.358 0.422 0.829 1.652
beta4_pH[1,25] 0.680 0.279 0.306 0.632 1.271
beta4_pH[2,25] 0.846 0.212 0.544 0.814 1.258
beta4_pH[3,25] 0.907 0.286 0.512 0.861 1.474
beta4_pH[4,25] 0.803 0.268 0.431 0.764 1.344
beta4_pH[5,25] 0.659 0.510 0.087 0.541 1.939
beta4_pH[6,25] 1.995 1.802 0.236 1.381 6.921
beta4_pH[7,25] 1.104 0.618 0.343 0.957 2.496
beta4_pH[8,25] 0.749 0.420 0.224 0.658 1.707
beta4_pH[9,25] 0.927 0.541 0.279 0.789 2.189
beta4_pH[10,25] 0.722 0.271 0.344 0.684 1.289
beta4_pH[11,25] 0.689 0.241 0.352 0.644 1.189
beta4_pH[12,25] 0.929 0.371 0.440 0.840 1.729
beta4_pH[13,25] 0.750 0.264 0.379 0.712 1.282
beta4_pH[14,25] 1.030 0.337 0.560 0.963 1.699
beta4_pH[15,25] 0.920 0.267 0.537 0.882 1.442
beta4_pH[16,25] 0.894 0.355 0.421 0.811 1.649
beta4_pH[1,26] 0.686 0.285 0.303 0.634 1.281
beta4_pH[2,26] 0.847 0.212 0.544 0.810 1.257
beta4_pH[3,26] 0.919 0.287 0.513 0.872 1.478
beta4_pH[4,26] 0.812 0.272 0.429 0.775 1.348
beta4_pH[5,26] 0.678 0.519 0.086 0.557 1.999
beta4_pH[6,26] 1.913 1.719 0.228 1.354 6.657
beta4_pH[7,26] 1.104 0.607 0.350 0.970 2.489
beta4_pH[8,26] 0.763 0.425 0.228 0.676 1.723
beta4_pH[9,26] 0.933 0.544 0.275 0.792 2.181
beta4_pH[10,26] 0.726 0.272 0.346 0.685 1.280
beta4_pH[11,26] 0.683 0.241 0.352 0.642 1.184
beta4_pH[12,26] 0.929 0.373 0.436 0.844 1.728
beta4_pH[13,26] 0.748 0.265 0.382 0.700 1.291
beta4_pH[14,26] 1.024 0.329 0.561 0.965 1.700
beta4_pH[15,26] 0.917 0.271 0.536 0.874 1.448
beta4_pH[16,26] 0.894 0.354 0.419 0.822 1.647
beta4_pH[1,27] 0.688 0.281 0.306 0.646 1.282
beta4_pH[2,27] 0.847 0.211 0.543 0.811 1.257
beta4_pH[3,27] 0.924 0.286 0.513 0.880 1.481
beta4_pH[4,27] 0.805 0.267 0.429 0.765 1.345
beta4_pH[5,27] 0.672 0.518 0.087 0.552 1.955
beta4_pH[6,27] 1.943 1.751 0.236 1.380 6.673
beta4_pH[7,27] 1.104 0.613 0.349 0.959 2.489
beta4_pH[8,27] 0.759 0.429 0.227 0.665 1.733
beta4_pH[9,27] 0.917 0.533 0.277 0.788 2.157
beta4_pH[10,27] 0.716 0.273 0.345 0.674 1.283
beta4_pH[11,27] 0.697 0.250 0.351 0.650 1.195
beta4_pH[12,27] 0.924 0.378 0.441 0.827 1.734
beta4_pH[13,27] 0.743 0.264 0.381 0.692 1.281
beta4_pH[14,27] 1.033 0.334 0.559 0.977 1.707
beta4_pH[15,27] 0.922 0.267 0.537 0.876 1.440
beta4_pH[16,27] 0.890 0.354 0.421 0.810 1.644
beta4_pH[1,28] 0.685 0.287 0.302 0.627 1.281
beta4_pH[2,28] 0.854 0.215 0.541 0.826 1.259
beta4_pH[3,28] 0.915 0.288 0.514 0.864 1.475
beta4_pH[4,28] 0.805 0.262 0.432 0.763 1.340
beta4_pH[5,28] 0.660 0.505 0.085 0.546 1.922
beta4_pH[6,28] 1.920 1.717 0.232 1.356 6.616
beta4_pH[7,28] 1.093 0.606 0.349 0.945 2.486
beta4_pH[8,28] 0.766 0.430 0.226 0.681 1.724
beta4_pH[9,28] 0.921 0.536 0.275 0.775 2.168
beta4_pH[10,28] 0.733 0.275 0.346 0.694 1.292
beta4_pH[11,28] 0.688 0.244 0.352 0.648 1.186
beta4_pH[12,28] 0.915 0.370 0.437 0.822 1.709
beta4_pH[13,28] 0.749 0.267 0.379 0.703 1.282
beta4_pH[14,28] 1.020 0.331 0.560 0.971 1.699
beta4_pH[15,28] 0.926 0.266 0.541 0.878 1.442
beta4_pH[16,28] 0.910 0.362 0.422 0.831 1.655
beta4_pH[1,29] 0.695 0.285 0.310 0.649 1.285
beta4_pH[2,29] 0.850 0.214 0.541 0.819 1.257
beta4_pH[3,29] 0.917 0.284 0.514 0.863 1.482
beta4_pH[4,29] 0.807 0.267 0.431 0.769 1.347
beta4_pH[5,29] 0.675 0.512 0.089 0.556 1.949
beta4_pH[6,29] 1.883 1.715 0.228 1.313 6.610
beta4_pH[7,29] 1.086 0.600 0.351 0.955 2.466
beta4_pH[8,29] 0.768 0.432 0.224 0.691 1.705
beta4_pH[9,29] 0.924 0.530 0.277 0.790 2.156
beta4_pH[10,29] 0.725 0.273 0.349 0.689 1.292
beta4_pH[11,29] 0.688 0.246 0.352 0.643 1.183
beta4_pH[12,29] 0.924 0.368 0.442 0.829 1.724
beta4_pH[13,29] 0.756 0.273 0.381 0.703 1.305
beta4_pH[14,29] 1.022 0.329 0.565 0.967 1.690
beta4_pH[15,29] 0.920 0.267 0.536 0.884 1.447
beta4_pH[16,29] 0.906 0.361 0.420 0.828 1.649
beta4_pH[1,30] 0.689 0.284 0.305 0.645 1.279
beta4_pH[2,30] 0.848 0.213 0.543 0.813 1.261
beta4_pH[3,30] 0.902 0.281 0.515 0.850 1.474
beta4_pH[4,30] 0.810 0.268 0.427 0.774 1.337
beta4_pH[5,30] 0.665 0.516 0.086 0.537 1.954
beta4_pH[6,30] 1.913 1.724 0.229 1.359 6.753
beta4_pH[7,30] 1.101 0.594 0.348 0.976 2.456
beta4_pH[8,30] 0.755 0.422 0.224 0.676 1.709
beta4_pH[9,30] 0.930 0.555 0.280 0.776 2.227
beta4_pH[10,30] 0.727 0.275 0.346 0.686 1.297
beta4_pH[11,30] 0.681 0.245 0.353 0.632 1.186
beta4_pH[12,30] 0.935 0.375 0.440 0.848 1.737
beta4_pH[13,30] 0.752 0.266 0.378 0.700 1.288
beta4_pH[14,30] 1.031 0.336 0.560 0.969 1.715
beta4_pH[15,30] 0.914 0.270 0.537 0.869 1.444
beta4_pH[16,30] 0.896 0.360 0.420 0.811 1.665
beta4_pH[1,31] 0.685 0.279 0.303 0.646 1.279
beta4_pH[2,31] 0.848 0.213 0.544 0.814 1.265
beta4_pH[3,31] 0.924 0.287 0.515 0.880 1.484
beta4_pH[4,31] 0.804 0.268 0.429 0.767 1.349
beta4_pH[5,31] 0.673 0.526 0.086 0.539 1.979
beta4_pH[6,31] 1.921 1.712 0.235 1.379 6.600
beta4_pH[7,31] 1.098 0.617 0.352 0.951 2.470
beta4_pH[8,31] 0.764 0.432 0.228 0.674 1.737
beta4_pH[9,31] 0.927 0.543 0.275 0.788 2.193
beta4_pH[10,31] 0.720 0.275 0.347 0.677 1.282
beta4_pH[11,31] 0.689 0.244 0.353 0.642 1.190
beta4_pH[12,31] 0.933 0.375 0.438 0.839 1.732
beta4_pH[13,31] 0.750 0.270 0.380 0.704 1.305
beta4_pH[14,31] 1.015 0.335 0.561 0.950 1.699
beta4_pH[15,31] 0.924 0.268 0.540 0.887 1.445
beta4_pH[16,31] 0.899 0.356 0.422 0.828 1.656
beta4_pH[1,32] 0.699 0.283 0.307 0.659 1.283
beta4_pH[2,32] 0.851 0.212 0.542 0.820 1.255
beta4_pH[3,32] 0.905 0.280 0.514 0.860 1.468
beta4_pH[4,32] 0.808 0.270 0.433 0.772 1.343
beta4_pH[5,32] 0.688 0.526 0.087 0.577 1.989
beta4_pH[6,32] 1.895 1.729 0.228 1.322 6.500
beta4_pH[7,32] 1.102 0.606 0.348 0.965 2.505
beta4_pH[8,32] 0.767 0.428 0.226 0.694 1.718
beta4_pH[9,32] 0.938 0.547 0.277 0.798 2.215
beta4_pH[10,32] 0.733 0.276 0.346 0.690 1.290
beta4_pH[11,32] 0.685 0.243 0.355 0.642 1.185
beta4_pH[12,32] 0.936 0.378 0.439 0.841 1.717
beta4_pH[13,32] 0.749 0.266 0.383 0.699 1.292
beta4_pH[14,32] 1.023 0.329 0.563 0.965 1.690
beta4_pH[15,32] 0.914 0.264 0.538 0.869 1.442
beta4_pH[16,32] 0.899 0.357 0.419 0.827 1.661
beta4_pH[1,33] 0.698 0.287 0.305 0.652 1.282
beta4_pH[2,33] 0.856 0.216 0.543 0.826 1.263
beta4_pH[3,33] 0.915 0.280 0.512 0.870 1.473
beta4_pH[4,33] 0.804 0.267 0.435 0.760 1.336
beta4_pH[5,33] 0.663 0.506 0.089 0.549 1.970
beta4_pH[6,33] 1.931 1.742 0.231 1.358 6.729
beta4_pH[7,33] 1.106 0.604 0.349 0.961 2.477
beta4_pH[8,33] 0.766 0.425 0.229 0.681 1.718
beta4_pH[9,33] 0.926 0.541 0.273 0.788 2.197
beta4_pH[10,33] 0.721 0.269 0.345 0.685 1.277
beta4_pH[11,33] 0.682 0.244 0.352 0.640 1.191
beta4_pH[12,33] 0.926 0.374 0.439 0.830 1.720
beta4_pH[13,33] 0.748 0.267 0.383 0.696 1.293
beta4_pH[14,33] 1.033 0.332 0.561 0.971 1.700
beta4_pH[15,33] 0.912 0.265 0.538 0.867 1.440
beta4_pH[16,33] 0.903 0.362 0.421 0.824 1.666
beta4_pH[1,34] 0.688 0.283 0.304 0.638 1.281
beta4_pH[2,34] 0.853 0.208 0.546 0.825 1.261
beta4_pH[3,34] 0.915 0.283 0.514 0.865 1.470
beta4_pH[4,34] 0.813 0.268 0.435 0.771 1.350
beta4_pH[5,34] 0.669 0.513 0.087 0.552 1.966
beta4_pH[6,34] 1.943 1.734 0.234 1.382 6.695
beta4_pH[7,34] 1.097 0.600 0.349 0.963 2.474
beta4_pH[8,34] 0.755 0.417 0.224 0.673 1.709
beta4_pH[9,34] 0.930 0.544 0.275 0.781 2.178
beta4_pH[10,34] 0.727 0.271 0.346 0.692 1.279
beta4_pH[11,34] 0.687 0.248 0.351 0.642 1.186
beta4_pH[12,34] 0.926 0.375 0.438 0.831 1.720
beta4_pH[13,34] 0.736 0.267 0.380 0.687 1.285
beta4_pH[14,34] 1.016 0.331 0.561 0.960 1.696
beta4_pH[15,34] 0.923 0.267 0.537 0.881 1.445
beta4_pH[16,34] 0.906 0.357 0.418 0.833 1.657
beta4_pH[1,35] 0.413 0.144 0.197 0.393 0.766
beta4_pH[2,35] 0.781 0.085 0.632 0.778 0.953
beta4_pH[3,35] 1.026 0.169 0.738 1.010 1.393
beta4_pH[4,35] 0.591 0.215 0.280 0.555 1.101
beta4_pH[5,35] 0.123 0.087 0.027 0.100 0.346
beta4_pH[6,35] 0.738 0.608 0.128 0.565 2.347
beta4_pH[7,35] 2.330 1.955 0.418 1.788 7.819
beta4_pH[8,35] 0.527 0.264 0.180 0.476 1.175
beta4_pH[9,35] 0.591 0.486 0.104 0.446 1.956
beta4_pH[10,35] 0.628 0.133 0.410 0.615 0.920
beta4_pH[11,35] 0.759 0.201 0.441 0.732 1.231
beta4_pH[12,35] 1.447 0.994 0.369 1.205 3.913
beta4_pH[13,35] 0.725 0.108 0.536 0.719 0.958
beta4_pH[14,35] 0.803 0.271 0.394 0.757 1.448
beta4_pH[15,35] 0.880 0.119 0.674 0.872 1.137
beta4_pH[16,35] 0.597 0.265 0.239 0.546 1.227
beta4_pH[1,36] 0.912 0.205 0.581 0.885 1.373
beta4_pH[2,36] 0.860 0.116 0.658 0.853 1.105
beta4_pH[3,36] 0.876 0.153 0.615 0.865 1.211
beta4_pH[4,36] 0.762 0.233 0.398 0.729 1.305
beta4_pH[5,36] 0.682 0.814 0.073 0.438 2.811
beta4_pH[6,36] 6.063 4.474 0.744 4.810 17.565
beta4_pH[7,36] 1.131 0.659 0.332 0.987 2.713
beta4_pH[8,36] 0.932 0.399 0.377 0.858 1.924
beta4_pH[9,36] 0.541 0.396 0.125 0.436 1.631
beta4_pH[10,36] 0.462 0.127 0.263 0.448 0.747
beta4_pH[11,36] 0.554 0.108 0.373 0.544 0.795
beta4_pH[12,36] 0.862 0.467 0.291 0.756 2.094
beta4_pH[13,36] 0.791 0.125 0.573 0.780 1.070
beta4_pH[14,36] 1.237 0.445 0.597 1.167 2.336
beta4_pH[15,36] 0.956 0.135 0.715 0.946 1.243
beta4_pH[16,36] 1.030 0.395 0.474 0.956 1.997
beta4_pH[1,37] 0.766 0.174 0.485 0.747 1.146
beta4_pH[2,37] 0.775 0.088 0.614 0.772 0.957
beta4_pH[3,37] 0.902 0.135 0.666 0.893 1.198
beta4_pH[4,37] 0.748 0.219 0.404 0.721 1.246
beta4_pH[5,37] 1.083 1.194 0.111 0.709 4.385
beta4_pH[6,37] 2.076 2.023 0.271 1.461 7.655
beta4_pH[7,37] 1.256 0.855 0.301 1.028 3.489
beta4_pH[8,37] 0.961 0.395 0.406 0.901 1.949
beta4_pH[9,37] 1.815 1.956 0.209 1.218 7.061
beta4_pH[10,37] 0.774 0.155 0.520 0.756 1.119
beta4_pH[11,37] 0.835 0.170 0.559 0.813 1.218
beta4_pH[12,37] 0.801 0.550 0.212 0.663 2.180
beta4_pH[13,37] 0.619 0.094 0.456 0.611 0.822
beta4_pH[14,37] 1.013 0.362 0.471 0.958 1.895
beta4_pH[15,37] 0.705 0.101 0.532 0.695 0.921
beta4_pH[16,37] 0.608 0.184 0.317 0.581 1.039
beta4_pH[1,38] 0.735 0.156 0.481 0.719 1.082
beta4_pH[2,38] 0.713 0.080 0.568 0.709 0.884
beta4_pH[3,38] 0.899 0.163 0.619 0.887 1.267
beta4_pH[4,38] 0.896 0.239 0.521 0.860 1.451
beta4_pH[5,38] 0.506 0.392 0.097 0.401 1.591
beta4_pH[6,38] 1.747 2.089 0.142 1.079 7.312
beta4_pH[7,38] 0.507 0.302 0.145 0.435 1.282
beta4_pH[8,38] 0.754 0.303 0.324 0.696 1.509
beta4_pH[9,38] 1.548 1.099 0.381 1.250 4.524
beta4_pH[10,38] 0.723 0.158 0.454 0.709 1.083
beta4_pH[11,38] 0.532 0.133 0.317 0.516 0.836
beta4_pH[12,38] 0.778 0.515 0.200 0.638 2.095
beta4_pH[13,38] 0.915 0.181 0.610 0.899 1.315
beta4_pH[14,38] 1.138 0.442 0.507 1.060 2.188
beta4_pH[15,38] 0.847 0.094 0.676 0.843 1.046
beta4_pH[16,38] 0.832 0.353 0.350 0.766 1.685
beta4_pH[1,39] 0.702 0.140 0.464 0.693 1.011
beta4_pH[2,39] 0.867 0.105 0.678 0.857 1.092
beta4_pH[3,39] 0.836 0.119 0.631 0.827 1.089
beta4_pH[4,39] 0.846 0.291 0.424 0.800 1.554
beta4_pH[5,39] 1.078 1.158 0.127 0.716 4.377
beta4_pH[6,39] 0.472 0.625 0.037 0.288 1.964
beta4_pH[7,39] 1.824 1.542 0.296 1.407 6.155
beta4_pH[8,39] 1.398 0.792 0.423 1.224 3.443
beta4_pH[9,39] 2.044 1.673 0.367 1.574 6.384
beta4_pH[10,39] 0.756 0.203 0.422 0.731 1.204
beta4_pH[11,39] 0.689 0.175 0.406 0.670 1.093
beta4_pH[12,39] 0.789 0.469 0.236 0.677 2.030
beta4_pH[13,39] 0.720 0.120 0.510 0.709 0.985
beta4_pH[14,39] 0.990 0.383 0.450 0.918 1.917
beta4_pH[15,39] 0.996 0.109 0.805 0.988 1.223
beta4_pH[16,39] 0.865 0.352 0.366 0.806 1.655
beta4_pH[1,40] 0.770 0.133 0.540 0.760 1.056
beta4_pH[2,40] 0.763 0.085 0.614 0.757 0.944
beta4_pH[3,40] 0.919 0.143 0.672 0.908 1.232
beta4_pH[4,40] 0.895 0.210 0.544 0.875 1.359
beta4_pH[5,40] 0.323 0.224 0.077 0.267 0.908
beta4_pH[6,40] 2.071 2.159 0.225 1.382 8.378
beta4_pH[7,40] 1.556 1.330 0.272 1.174 5.075
beta4_pH[8,40] 0.353 0.272 0.074 0.280 1.083
beta4_pH[9,40] 0.519 0.507 0.066 0.371 2.023
beta4_pH[10,40] 0.916 0.243 0.518 0.893 1.467
beta4_pH[11,40] 0.465 0.112 0.282 0.452 0.721
beta4_pH[12,40] 0.650 0.400 0.188 0.562 1.728
beta4_pH[13,40] 0.788 0.123 0.572 0.779 1.063
beta4_pH[14,40] 0.751 0.247 0.370 0.712 1.321
beta4_pH[15,40] 0.838 0.095 0.668 0.832 1.043
beta4_pH[16,40] 1.156 0.500 0.488 1.062 2.426
beta4_pH[1,41] 0.616 0.133 0.400 0.603 0.912
beta4_pH[2,41] 0.789 0.101 0.606 0.783 0.999
beta4_pH[3,41] 0.883 0.148 0.637 0.866 1.202
beta4_pH[4,41] 0.884 0.402 0.348 0.803 1.878
beta4_pH[5,41] 1.422 0.799 0.444 1.240 3.571
beta4_pH[6,41] 2.913 3.004 0.271 1.911 12.371
beta4_pH[7,41] 0.824 0.498 0.241 0.698 2.106
beta4_pH[8,41] 1.203 0.760 0.347 1.009 3.190
beta4_pH[9,41] 0.513 0.611 0.058 0.332 2.057
beta4_pH[10,41] 0.775 0.172 0.491 0.756 1.171
beta4_pH[11,41] 0.846 0.234 0.483 0.811 1.379
beta4_pH[12,41] 0.968 0.461 0.366 0.872 2.140
beta4_pH[13,41] 0.699 0.113 0.505 0.687 0.945
beta4_pH[14,41] 1.127 0.358 0.588 1.074 1.971
beta4_pH[15,41] 0.787 0.098 0.614 0.782 0.993
beta4_pH[16,41] 0.925 0.434 0.345 0.848 1.974
beta4_pH[1,42] 0.673 0.140 0.440 0.661 0.982
beta4_pH[2,42] 0.784 0.098 0.612 0.776 0.992
beta4_pH[3,42] 0.800 0.158 0.543 0.785 1.148
beta4_pH[4,42] 0.972 0.328 0.488 0.919 1.743
beta4_pH[5,42] 1.475 1.653 0.157 0.955 5.819
beta4_pH[6,42] 0.339 0.253 0.068 0.270 1.024
beta4_pH[7,42] 0.971 0.624 0.257 0.814 2.607
beta4_pH[8,42] 0.778 0.343 0.320 0.705 1.597
beta4_pH[9,42] 0.814 0.591 0.179 0.650 2.359
beta4_pH[10,42] 0.918 0.207 0.580 0.896 1.378
beta4_pH[11,42] 0.642 0.141 0.412 0.626 0.979
beta4_pH[12,42] 0.842 0.389 0.321 0.759 1.805
beta4_pH[13,42] 0.514 0.163 0.269 0.487 0.893
beta4_pH[14,42] 0.902 0.308 0.452 0.856 1.610
beta4_pH[15,42] 0.921 0.094 0.753 0.915 1.119
beta4_pH[16,42] 0.570 0.198 0.270 0.539 1.036
beta4_pH[1,43] 0.804 0.193 0.497 0.781 1.234
beta4_pH[2,43] 0.754 0.081 0.611 0.749 0.925
beta4_pH[3,43] 0.673 0.096 0.502 0.666 0.886
beta4_pH[4,43] 0.833 0.274 0.431 0.785 1.454
beta4_pH[5,43] 1.583 0.763 0.584 1.422 3.532
beta4_pH[6,43] 1.144 0.867 0.229 0.918 3.455
beta4_pH[7,43] 0.712 0.622 0.130 0.544 2.285
beta4_pH[8,43] 0.643 0.286 0.257 0.585 1.346
beta4_pH[9,43] 1.145 1.054 0.168 0.826 3.873
beta4_pH[10,43] 0.683 0.146 0.441 0.669 1.018
beta4_pH[11,43] 0.639 0.132 0.410 0.628 0.920
beta4_pH[12,43] 0.770 0.373 0.267 0.699 1.678
beta4_pH[13,43] 0.588 0.116 0.394 0.573 0.843
beta4_pH[14,43] 1.102 0.342 0.587 1.045 1.879
beta4_pH[15,43] 0.850 0.103 0.669 0.843 1.073
beta4_pH[16,43] 1.224 0.454 0.571 1.155 2.315
beta4_pH[1,44] 0.608 0.163 0.356 0.585 0.988
beta4_pH[2,44] 0.701 0.080 0.558 0.698 0.868
beta4_pH[3,44] 0.635 0.100 0.459 0.628 0.849
beta4_pH[4,44] 0.827 0.205 0.504 0.804 1.299
beta4_pH[5,44] 1.274 0.627 0.452 1.140 2.913
beta4_pH[6,44] 1.315 1.593 0.125 0.829 5.804
beta4_pH[7,44] 1.170 0.676 0.354 1.020 2.863
beta4_pH[8,44] 0.453 0.290 0.116 0.382 1.219
beta4_pH[9,44] 0.996 0.866 0.164 0.740 3.288
beta4_pH[10,44] 0.627 0.155 0.378 0.608 0.976
beta4_pH[11,44] 0.355 0.121 0.173 0.337 0.645
beta4_pH[12,44] 0.607 0.326 0.191 0.535 1.452
beta4_pH[13,44] 0.539 0.099 0.374 0.529 0.761
beta4_pH[14,44] 0.688 0.182 0.396 0.665 1.103
beta4_pH[15,44] 0.644 0.084 0.497 0.640 0.823
beta4_pH[16,44] 0.432 0.195 0.176 0.390 0.931
beta4_pH[1,45] 0.796 0.194 0.493 0.769 1.243
beta4_pH[2,45] 0.714 0.088 0.554 0.707 0.900
beta4_pH[3,45] 0.768 0.140 0.529 0.757 1.070
beta4_pH[4,45] 0.748 0.186 0.452 0.729 1.170
beta4_pH[5,45] 1.014 1.213 0.098 0.621 4.576
beta4_pH[6,45] 1.202 1.131 0.191 0.874 4.293
beta4_pH[7,45] 0.706 0.626 0.126 0.536 2.249
beta4_pH[8,45] 1.191 0.526 0.470 1.094 2.466
beta4_pH[9,45] 0.102 0.119 0.010 0.066 0.404
beta4_pH[10,45] 0.856 0.200 0.539 0.834 1.325
beta4_pH[11,45] 0.474 0.103 0.305 0.463 0.714
beta4_pH[12,45] 0.788 0.369 0.300 0.714 1.688
beta4_pH[13,45] 0.464 0.077 0.335 0.457 0.629
beta4_pH[14,45] 0.749 0.173 0.469 0.732 1.138
beta4_pH[15,45] 0.512 0.069 0.387 0.508 0.659
beta4_pH[16,45] 0.265 0.162 0.073 0.226 0.673
beta4_pH[1,46] 0.800 0.161 0.530 0.784 1.153
beta4_pH[2,46] 0.681 0.099 0.508 0.673 0.902
beta4_pH[3,46] 0.759 0.118 0.554 0.749 1.011
beta4_pH[4,46] 0.887 0.332 0.410 0.834 1.717
beta4_pH[5,46] 1.112 0.585 0.353 0.977 2.526
beta4_pH[6,46] 1.387 1.689 0.113 0.843 5.749
beta4_pH[7,46] 1.672 1.223 0.351 1.367 5.094
beta4_pH[8,46] 1.065 0.490 0.402 0.967 2.312
beta4_pH[9,46] 1.589 1.533 0.219 1.116 5.950
beta4_pH[10,46] 0.661 0.171 0.389 0.642 1.042
beta4_pH[11,46] 0.697 0.158 0.441 0.680 1.060
beta4_pH[12,46] 1.158 0.618 0.370 1.016 2.721
beta4_pH[13,46] 0.603 0.190 0.316 0.575 1.036
beta4_pH[14,46] 0.992 0.363 0.459 0.936 1.859
beta4_pH[15,46] 0.625 0.075 0.490 0.621 0.788
beta4_pH[16,46] 0.615 0.275 0.257 0.558 1.317
beta4_pH[1,47] 0.629 0.145 0.386 0.615 0.957
beta4_pH[2,47] 0.765 0.112 0.568 0.758 1.008
beta4_pH[3,47] 0.771 0.118 0.563 0.763 1.020
beta4_pH[4,47] 0.540 0.221 0.229 0.500 1.062
beta4_pH[5,47] 0.115 0.093 0.024 0.091 0.365
beta4_pH[6,47] 0.185 0.126 0.043 0.151 0.506
beta4_pH[7,47] 0.479 0.426 0.084 0.360 1.561
beta4_pH[8,47] 0.871 0.646 0.200 0.709 2.334
beta4_pH[9,47] 0.474 0.582 0.044 0.303 1.992
beta4_pH[10,47] 0.839 0.262 0.437 0.800 1.475
beta4_pH[11,47] 0.588 0.122 0.384 0.576 0.853
beta4_pH[12,47] 1.617 0.966 0.482 1.397 4.034
beta4_pH[13,47] 0.680 0.118 0.476 0.671 0.935
beta4_pH[14,47] 0.877 0.335 0.402 0.818 1.693
beta4_pH[15,47] 0.711 0.119 0.503 0.700 0.973
beta4_pH[16,47] 0.817 0.334 0.348 0.760 1.628
beta0_pelagic[1] 2.248 0.139 1.978 2.247 2.519
beta0_pelagic[2] 1.481 0.132 1.228 1.481 1.744
beta0_pelagic[3] 0.209 0.345 -0.615 0.255 0.705
beta0_pelagic[4] 0.287 0.422 -0.751 0.327 0.956
beta0_pelagic[5] 1.438 0.212 1.020 1.439 1.856
beta0_pelagic[6] 1.361 0.158 1.046 1.363 1.673
beta0_pelagic[7] 1.520 0.148 1.239 1.518 1.811
beta0_pelagic[8] 1.742 0.147 1.455 1.741 2.033
beta0_pelagic[9] 2.654 0.167 2.340 2.653 2.989
beta0_pelagic[10] 2.531 0.141 2.258 2.528 2.804
beta0_pelagic[11] -0.482 0.324 -1.252 -0.458 0.099
beta0_pelagic[12] 1.718 0.143 1.434 1.721 1.990
beta0_pelagic[13] 0.385 0.279 -0.392 0.421 0.780
beta0_pelagic[14] -0.210 0.262 -0.764 -0.194 0.249
beta0_pelagic[15] -0.270 0.177 -0.682 -0.255 0.034
beta0_pelagic[16] -0.418 0.334 -1.170 -0.401 0.179
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.678 0.396 0.052 0.637 1.623
beta1_pelagic[4] 0.832 0.442 0.065 0.808 1.880
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.603 0.399 0.902 1.574 2.529
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 0.613 0.449 0.015 0.571 1.705
beta1_pelagic[14] 1.515 0.488 0.735 1.443 2.664
beta1_pelagic[15] 0.139 0.183 0.011 0.064 0.644
beta1_pelagic[16] 1.459 0.453 0.694 1.402 2.523
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 7.248 6.510 0.176 5.428 23.008
beta2_pelagic[4] 7.347 6.045 0.325 6.044 22.226
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 2.002 1.656 0.245 1.452 6.349
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 2.233 1.862 0.131 1.730 6.981
beta2_pelagic[14] 1.423 1.481 0.188 0.825 5.617
beta2_pelagic[15] 2.509 1.951 0.087 2.105 7.103
beta2_pelagic[16] 1.712 1.582 0.198 1.170 6.021
beta3_pelagic[1] 29.032 6.255 18.621 28.997 39.454
beta3_pelagic[2] 28.954 6.302 18.684 28.769 39.399
beta3_pelagic[3] 27.998 3.851 21.280 28.098 37.013
beta3_pelagic[4] 25.696 2.802 20.710 25.877 33.463
beta3_pelagic[5] 28.805 6.334 18.503 28.804 39.372
beta3_pelagic[6] 28.983 6.297 18.623 28.954 39.473
beta3_pelagic[7] 29.086 6.373 18.504 29.091 39.389
beta3_pelagic[8] 28.924 6.324 18.654 28.788 39.417
beta3_pelagic[9] 29.112 6.359 18.505 29.260 39.331
beta3_pelagic[10] 28.896 6.439 18.581 28.729 39.499
beta3_pelagic[11] 29.453 1.399 26.699 29.534 32.145
beta3_pelagic[12] 28.832 6.390 18.569 28.594 39.450
beta3_pelagic[13] 34.154 5.236 20.208 35.776 39.806
beta3_pelagic[14] 34.293 1.957 30.924 34.181 38.726
beta3_pelagic[15] 29.977 6.688 18.544 30.792 39.704
beta3_pelagic[16] 31.027 1.894 27.402 30.849 35.617
beta0_yellow[1] -0.508 0.161 -0.817 -0.509 -0.185
beta0_yellow[2] 0.579 0.187 0.224 0.585 0.906
beta0_yellow[3] -0.149 0.236 -0.609 -0.135 0.236
beta0_yellow[4] 0.908 0.384 -0.241 0.984 1.348
beta0_yellow[5] 0.429 0.336 -0.339 0.480 0.964
beta0_yellow[6] 0.813 0.165 0.495 0.812 1.144
beta0_yellow[7] 0.921 0.167 0.604 0.918 1.247
beta0_yellow[8] 0.971 0.165 0.666 0.964 1.310
beta0_yellow[9] 0.571 0.173 0.222 0.578 0.899
beta0_yellow[10] 0.699 0.137 0.423 0.697 0.956
beta0_yellow[11] 0.198 0.171 -0.129 0.200 0.529
beta0_yellow[12] -1.131 0.180 -1.483 -1.132 -0.765
beta0_yellow[13] -0.838 0.172 -1.186 -0.836 -0.500
beta0_yellow[14] 0.022 0.180 -0.319 0.017 0.383
beta0_yellow[15] -0.782 0.169 -1.107 -0.779 -0.441
beta0_yellow[16] -0.228 0.177 -0.572 -0.231 0.129
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 0.983 0.328 0.448 0.964 1.603
beta1_yellow[3] 0.421 0.354 0.014 0.400 1.039
beta1_yellow[4] 1.316 0.773 0.474 1.127 3.898
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.370 5.855 -21.489 -6.001 -0.301
beta2_yellow[3] -7.731 5.850 -21.642 -6.388 -0.267
beta2_yellow[4] -5.541 5.377 -19.450 -4.049 -0.100
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 29.131 1.735 26.626 28.809 33.121
beta3_yellow[3] 32.119 4.357 20.286 32.611 40.086
beta3_yellow[4] 28.693 3.444 21.827 27.775 36.478
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[14] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[15] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] -0.001 0.152 -0.298 -0.004 0.293
beta0_black[2] 1.891 0.137 1.619 1.891 2.157
beta0_black[3] 1.367 0.142 1.085 1.366 1.641
beta0_black[4] 2.493 0.141 2.217 2.494 2.765
beta0_black[5] 4.588 2.153 1.797 4.127 10.114
beta0_black[6] 4.425 1.977 2.055 3.945 9.506
beta0_black[7] 3.222 1.733 1.330 2.753 8.340
beta0_black[8] 0.931 0.245 0.465 0.921 1.451
beta0_black[9] 2.584 0.256 2.081 2.581 3.092
beta0_black[10] 1.374 0.139 1.108 1.373 1.649
beta0_black[11] 3.473 0.171 3.141 3.474 3.814
beta0_black[12] 4.853 0.198 4.474 4.850 5.247
beta0_black[13] 0.245 0.187 0.010 0.205 0.689
beta0_black[14] 2.987 0.172 2.646 2.987 3.330
beta0_black[15] 1.403 0.171 1.070 1.402 1.738
beta0_black[16] 4.243 0.177 3.895 4.239 4.592
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.532 1.728 -6.995 -2.055 -0.506
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 38.978 0.907 36.875 39.131 40.329
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.260 0.203 -0.657 -0.263 0.147
beta4_black[2] 0.263 0.191 -0.105 0.263 0.652
beta4_black[3] -1.000 0.194 -1.389 -0.997 -0.623
beta4_black[4] 0.488 0.222 0.061 0.487 0.912
beta4_black[5] 0.761 1.720 -1.275 0.438 4.582
beta4_black[6] 0.854 1.572 -0.940 0.522 4.663
beta4_black[7] 0.706 1.423 -1.038 0.431 4.205
beta4_black[8] -0.255 0.335 -0.943 -0.249 0.375
beta4_black[9] 0.969 0.876 -0.228 0.792 3.135
beta4_black[10] 0.060 0.186 -0.323 0.060 0.438
beta4_black[11] -0.725 0.227 -1.171 -0.724 -0.276
beta4_black[12] 0.409 0.339 -0.263 0.420 1.079
beta4_black[13] -1.350 0.221 -1.771 -1.352 -0.899
beta4_black[14] -0.113 0.253 -0.599 -0.116 0.386
beta4_black[15] -0.932 0.227 -1.378 -0.934 -0.482
beta4_black[16] -0.596 0.249 -1.088 -0.595 -0.102
beta0_dsr[11] 1.891 0.170 1.561 1.892 2.222
beta0_dsr[12] 4.987 0.272 4.470 4.987 5.523
beta0_dsr[13] 1.513 0.173 1.182 1.511 1.862
beta0_dsr[14] 2.613 0.179 2.259 2.615 2.965
beta0_dsr[15] 1.322 0.167 0.982 1.326 1.640
beta0_dsr[16] 2.829 0.179 2.484 2.824 3.171
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.668 0.232 0.217 0.666 1.131
beta4_dsr[12] -0.017 0.733 -1.365 -0.071 1.589
beta4_dsr[13] -0.307 0.233 -0.770 -0.302 0.144
beta4_dsr[14] 0.066 0.289 -0.501 0.071 0.608
beta4_dsr[15] 0.842 0.226 0.402 0.845 1.284
beta4_dsr[16] 0.090 0.259 -0.419 0.092 0.599
beta0_slope[11] -1.830 0.171 -2.174 -1.829 -1.504
beta0_slope[12] -4.748 0.256 -5.257 -4.748 -4.257
beta0_slope[13] -1.273 0.174 -1.620 -1.274 -0.942
beta0_slope[14] -2.626 0.187 -2.983 -2.630 -2.260
beta0_slope[15] -1.276 0.172 -1.611 -1.278 -0.940
beta0_slope[16] -2.687 0.180 -3.037 -2.688 -2.339
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.809 0.233 -1.264 -0.811 -0.359
beta4_slope[12] -1.597 0.601 -2.842 -1.591 -0.474
beta4_slope[13] 0.096 0.228 -0.344 0.094 0.541
beta4_slope[14] 0.003 0.275 -0.553 0.001 0.512
beta4_slope[15] -0.867 0.233 -1.326 -0.867 -0.399
beta4_slope[16] -0.229 0.255 -0.712 -0.230 0.271
beta5_slope[11] 2.683 0.283 2.127 2.681 3.257
beta5_slope[12] -0.209 0.466 -1.121 -0.211 0.711
beta5_slope[13] 1.222 0.270 0.694 1.225 1.730
beta5_slope[14] 4.031 0.510 3.054 4.026 5.045
beta5_slope[15] 1.737 0.277 1.201 1.738 2.291
beta5_slope[16] 2.680 0.363 1.984 2.670 3.412
sigma_H[1] 0.194 0.055 0.095 0.192 0.311
sigma_H[2] 0.172 0.030 0.119 0.170 0.237
sigma_H[3] 0.203 0.042 0.128 0.199 0.292
sigma_H[4] 0.349 0.074 0.224 0.344 0.504
sigma_H[5] 1.030 0.235 0.595 1.028 1.494
sigma_H[6] 0.277 0.191 0.012 0.248 0.731
sigma_H[7] 0.276 0.049 0.194 0.272 0.387
sigma_H[8] 0.437 0.090 0.304 0.423 0.637
sigma_H[9] 0.396 0.076 0.277 0.384 0.582
sigma_H[10] 0.227 0.045 0.149 0.223 0.328
sigma_H[11] 0.276 0.047 0.200 0.272 0.384
sigma_H[12] 0.464 0.171 0.213 0.459 0.800
sigma_H[13] 0.209 0.037 0.145 0.205 0.290
sigma_H[14] 0.463 0.094 0.311 0.454 0.664
sigma_H[15] 0.249 0.041 0.179 0.245 0.341
sigma_H[16] 0.227 0.044 0.155 0.223 0.324
lambda_H[1] 2.837 3.630 0.152 1.555 12.629
lambda_H[2] 8.877 8.048 0.888 6.511 30.280
lambda_H[3] 7.432 10.903 0.310 3.734 37.943
lambda_H[4] 0.008 0.007 0.002 0.007 0.025
lambda_H[5] 3.130 9.215 0.015 0.435 25.142
lambda_H[6] 10.812 17.210 0.016 4.728 57.286
lambda_H[7] 0.016 0.011 0.003 0.014 0.046
lambda_H[8] 7.944 10.276 0.001 4.488 36.062
lambda_H[9] 0.020 0.014 0.004 0.017 0.055
lambda_H[10] 0.399 1.426 0.034 0.200 1.449
lambda_H[11] 0.265 0.455 0.011 0.130 1.252
lambda_H[12] 5.472 6.745 0.261 3.290 23.939
lambda_H[13] 3.784 3.498 0.272 2.853 12.824
lambda_H[14] 3.211 3.594 0.245 2.077 12.639
lambda_H[15] 0.027 0.047 0.004 0.017 0.101
lambda_H[16] 0.895 1.765 0.024 0.327 5.107
mu_lambda_H[1] 4.395 1.904 1.256 4.169 8.577
mu_lambda_H[2] 3.956 1.996 0.724 3.769 8.178
mu_lambda_H[3] 3.598 1.887 0.829 3.248 8.053
sigma_lambda_H[1] 8.676 4.223 2.122 8.084 18.216
sigma_lambda_H[2] 8.599 4.733 1.171 8.151 18.359
sigma_lambda_H[3] 6.462 4.095 1.143 5.559 16.770
beta_H[1,1] 6.813 1.118 4.083 7.012 8.472
beta_H[2,1] 9.857 0.482 8.799 9.884 10.734
beta_H[3,1] 8.007 0.729 6.255 8.099 9.183
beta_H[4,1] 12.507 7.600 -1.483 12.312 28.402
beta_H[5,1] -0.017 3.199 -6.835 0.231 5.735
beta_H[6,1] 4.265 2.822 -3.946 5.077 7.363
beta_H[7,1] 2.254 5.212 -8.636 2.441 11.885
beta_H[8,1] 3.451 10.507 -2.232 1.267 46.288
beta_H[9,1] 13.744 5.532 3.542 13.503 25.538
beta_H[10,1] 7.194 1.694 3.823 7.267 10.532
beta_H[11,1] 5.104 3.519 -2.752 5.882 9.948
beta_H[12,1] 2.584 0.990 0.793 2.531 4.729
beta_H[13,1] 9.026 0.837 7.245 9.083 10.452
beta_H[14,1] 2.184 1.035 0.163 2.200 4.209
beta_H[15,1] -5.815 3.811 -12.689 -6.021 2.310
beta_H[16,1] 4.240 3.110 -0.641 3.733 11.994
beta_H[1,2] 7.906 0.248 7.411 7.912 8.361
beta_H[2,2] 10.030 0.132 9.775 10.031 10.297
beta_H[3,2] 8.949 0.192 8.567 8.951 9.338
beta_H[4,2] 2.379 1.475 -0.444 2.406 5.351
beta_H[5,2] 1.944 1.101 -0.257 1.971 4.018
beta_H[6,2] 5.985 0.870 3.830 6.095 7.389
beta_H[7,2] 2.112 1.018 0.236 2.083 4.160
beta_H[8,2] 2.466 2.500 -7.522 3.052 4.201
beta_H[9,2] 2.859 1.036 0.824 2.869 4.947
beta_H[10,2] 8.133 0.361 7.374 8.157 8.788
beta_H[11,2] 9.762 0.639 8.839 9.640 11.193
beta_H[12,2] 3.972 0.361 3.306 3.963 4.727
beta_H[13,2] 9.137 0.240 8.692 9.128 9.630
beta_H[14,2] 4.046 0.351 3.374 4.048 4.753
beta_H[15,2] 11.301 0.686 9.860 11.332 12.603
beta_H[16,2] 4.723 0.845 3.119 4.699 6.439
beta_H[1,3] 8.554 0.256 8.093 8.540 9.081
beta_H[2,3] 10.107 0.113 9.888 10.104 10.337
beta_H[3,3] 9.655 0.160 9.354 9.649 9.994
beta_H[4,3] -0.805 1.197 -2.978 -0.872 1.787
beta_H[5,3] 4.174 0.760 2.625 4.183 5.653
beta_H[6,3] 7.517 0.954 6.245 7.291 10.117
beta_H[7,3] -2.155 0.664 -3.508 -2.139 -0.874
beta_H[8,3] 5.425 1.192 4.546 5.129 10.083
beta_H[9,3] -1.755 0.718 -3.195 -1.746 -0.374
beta_H[10,3] 8.846 0.294 8.293 8.845 9.442
beta_H[11,3] 8.553 0.290 7.936 8.576 9.064
beta_H[12,3] 5.334 0.305 4.602 5.371 5.849
beta_H[13,3] 8.939 0.177 8.584 8.939 9.290
beta_H[14,3] 5.800 0.280 5.203 5.814 6.297
beta_H[15,3] 10.398 0.324 9.771 10.386 11.035
beta_H[16,3] 6.001 0.903 4.112 6.105 7.452
beta_H[1,4] 8.303 0.178 7.927 8.314 8.618
beta_H[2,4] 10.170 0.113 9.933 10.174 10.377
beta_H[3,4] 10.156 0.162 9.804 10.166 10.436
beta_H[4,4] 11.500 0.427 10.682 11.508 12.328
beta_H[5,4] 6.003 1.002 4.387 5.867 8.186
beta_H[6,4] 7.485 0.706 5.542 7.633 8.428
beta_H[7,4] 8.137 0.320 7.491 8.133 8.765
beta_H[8,4] 6.583 0.460 4.899 6.667 7.077
beta_H[9,4] 6.914 0.384 6.160 6.918 7.654
beta_H[10,4] 7.790 0.259 7.314 7.785 8.338
beta_H[11,4] 9.382 0.205 8.978 9.382 9.786
beta_H[12,4] 7.150 0.216 6.733 7.145 7.597
beta_H[13,4] 9.071 0.145 8.772 9.072 9.349
beta_H[14,4] 7.798 0.215 7.375 7.797 8.220
beta_H[15,4] 9.462 0.239 9.013 9.460 9.924
beta_H[16,4] 9.399 0.298 8.897 9.368 10.061
beta_H[1,5] 8.986 0.148 8.673 8.989 9.271
beta_H[2,5] 10.779 0.093 10.598 10.777 10.968
beta_H[3,5] 10.891 0.166 10.599 10.881 11.237
beta_H[4,5] 8.493 0.402 7.698 8.499 9.303
beta_H[5,5] 5.032 0.840 3.050 5.206 6.310
beta_H[6,5] 8.587 0.490 7.874 8.507 9.878
beta_H[7,5] 6.836 0.315 6.211 6.823 7.458
beta_H[8,5] 8.272 0.367 7.844 8.206 9.473
beta_H[9,5] 8.349 0.379 7.605 8.349 9.085
beta_H[10,5] 10.056 0.248 9.552 10.063 10.544
beta_H[11,5] 11.511 0.232 11.054 11.511 11.953
beta_H[12,5] 8.470 0.202 8.083 8.468 8.887
beta_H[13,5] 10.005 0.127 9.756 10.004 10.260
beta_H[14,5] 9.220 0.216 8.827 9.208 9.671
beta_H[15,5] 11.166 0.247 10.696 11.165 11.644
beta_H[16,5] 9.887 0.196 9.480 9.900 10.244
beta_H[1,6] 10.184 0.193 9.849 10.168 10.594
beta_H[2,6] 11.513 0.104 11.311 11.510 11.720
beta_H[3,6] 10.821 0.155 10.498 10.828 11.106
beta_H[4,6] 12.786 0.709 11.378 12.776 14.179
beta_H[5,6] 6.055 0.733 4.811 5.993 7.726
beta_H[6,6] 8.822 0.513 7.387 8.880 9.581
beta_H[7,6] 9.791 0.521 8.756 9.796 10.820
beta_H[8,6] 9.440 0.529 7.669 9.531 9.986
beta_H[9,6] 8.372 0.625 7.148 8.360 9.597
beta_H[10,6] 9.529 0.329 8.828 9.551 10.110
beta_H[11,6] 10.810 0.354 10.069 10.837 11.469
beta_H[12,6] 9.374 0.258 8.871 9.370 9.920
beta_H[13,6] 11.050 0.155 10.773 11.040 11.379
beta_H[14,6] 9.812 0.268 9.258 9.814 10.315
beta_H[15,6] 10.844 0.428 10.021 10.846 11.684
beta_H[16,6] 10.548 0.259 10.021 10.555 11.078
beta_H[1,7] 10.823 0.902 8.601 10.952 12.275
beta_H[2,7] 12.213 0.413 11.373 12.209 13.032
beta_H[3,7] 10.564 0.643 9.109 10.651 11.602
beta_H[4,7] 2.704 3.582 -4.356 2.718 9.629
beta_H[5,7] 7.072 2.610 2.495 6.732 13.078
beta_H[6,7] 9.349 1.681 5.904 9.351 12.616
beta_H[7,7] 10.860 2.605 5.730 10.850 15.836
beta_H[8,7] 11.294 2.119 9.360 10.951 18.408
beta_H[9,7] 4.648 3.177 -1.958 4.735 10.760
beta_H[10,7] 9.829 1.510 7.080 9.721 13.155
beta_H[11,7] 11.004 1.701 7.849 10.907 14.727
beta_H[12,7] 10.039 0.910 7.946 10.123 11.558
beta_H[13,7] 11.679 0.749 9.859 11.775 12.844
beta_H[14,7] 10.375 0.944 8.471 10.417 12.017
beta_H[15,7] 11.956 2.230 7.624 11.983 16.320
beta_H[16,7] 12.353 1.376 10.080 12.180 15.454
beta0_H[1] 8.869 13.820 -19.028 8.890 36.879
beta0_H[2] 10.668 5.995 -2.161 10.850 22.295
beta0_H[3] 9.798 9.448 -9.129 9.848 27.938
beta0_H[4] 5.269 169.865 -343.714 5.204 355.622
beta0_H[5] 4.715 36.289 -71.618 4.585 84.773
beta0_H[6] 6.837 31.640 -56.273 7.595 72.958
beta0_H[7] 5.315 115.410 -226.140 3.695 249.369
beta0_H[8] 8.092 91.418 -58.187 6.511 80.459
beta0_H[9] 1.587 103.517 -203.277 2.704 192.819
beta0_H[10] 9.039 33.388 -60.997 9.458 77.453
beta0_H[11] 9.502 49.661 -97.362 9.169 115.201
beta0_H[12] 6.721 10.518 -14.064 6.593 28.103
beta0_H[13] 9.350 9.782 -11.362 9.578 28.215
beta0_H[14] 7.167 11.162 -14.632 7.031 29.951
beta0_H[15] 9.160 105.373 -199.898 9.294 223.408
beta0_H[16] 8.057 32.179 -61.961 8.358 75.094